Fractions

Problem 1

Calculate 25÷42^{5} \div 4.

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Problem 2

一盒雞蛋有 34 \frac{3}{4} 打,每隻雞蛋值 145 1 \frac{4}{5} 元,求兩盒的總價。

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Problem 3

把一條麻繩分成 5 段,每段長 3153 \frac{1}{5} 米,剩下 2382 \frac{3}{8} 米,求原長多少米?

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Problem 4

Calculate the value of 85:143814\frac{8}{5} : \frac{14}{-3} \cdot \frac{8}{14}.

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Problem 5

Calculate 35:(0.2536):423-\frac{3}{5}:(0.25-\frac{3}{6}): 4 \frac{2}{3}.

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Problem 6

Evaluate: {[(3)/2]2}3\left\{[(-3) / 2]^{2}\right\}^{-3}

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Problem 7

How many of the 28 tiles does Jenaro need to paint black if 14\frac{1}{4} must be black?

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Problem 8

Calculate the expression: (5(12)2+93438(14)2)12\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{\frac{1}{2}}

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Problem 9

Calculate (3545)÷1425\left(-\frac{3}{5}-\frac{4}{5}\right) \div \frac{14}{25}.

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Problem 10

Réduis la fraction 280224\frac{280}{224} en utilisant les facteurs premiers de 280 et 224.

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Problem 11

Multiply the mixed numbers: 325×354253 \frac{2}{5} \times 354 \frac{2}{5}.

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Problem 12

Calculate 35425(114210+150215)354 \frac{2}{5} - \left(114 \frac{2}{10} + 150 \frac{2}{15}\right).

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Problem 13

Calculate the sum of 25\frac{2}{5} and 127\frac{12}{7}.

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Problem 14

Calculate the sum: 25+217\frac{2}{5}+\frac{21}{7}.

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Problem 15

Combine the following mixed numbers and fractions to lowest terms:
1. 25+127\frac{2}{5}+\frac{12}{7}
2. 910+1112\frac{9}{10}+\frac{11}{12}
3. 2535+393525 \frac{3}{5}+39 \frac{3}{5}
4. 1520+615\frac{15}{20}+\frac{6}{15}
5. 359+610143 \frac{5}{9}+6 \frac{10}{14}
6. 4112+164 \frac{1}{12}+\frac{1}{6}
7. 623+1919+2466 \frac{2}{3}+19 \frac{1}{9}+2 \frac{4}{6}
8. 1534+56+1161215 \frac{3}{4}+\frac{5}{6}+11 \frac{6}{12}

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Problem 16

Simplify the expression: 12453928361351\frac{12^{4} \cdot 5^{-3} \cdot 9^{2}}{8 \cdot 3^{6} \cdot 135^{-1}} and find 2502 \sqrt{50}.

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Problem 17

Megan has 55 prizes and fills 12 bags equally. After filling 6 bags, what fraction of the prizes remains?

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Problem 18

Mrs. Miller uses 4/84/8 cup for cake and 3/83/8 cup for frosting. Total honey used?

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Problem 20

Find the value of (45)2\left(\frac{4}{5}\right)^{-2}. Choices: a. 1625-\frac{16}{25} b. 45\frac{4}{5} c. 54\frac{5}{4} d. 2516\frac{25}{16}.

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Problem 21

Calculate the value of 14414^{-4}.

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Problem 22

Convert the decimal 0.83-0.83 to a fraction.

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Problem 23

Convert the decimal 0.4 into a fraction.

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Problem 24

Calculate the expression: 371523+3887+99\frac{-3}{7} \cdot \frac{15}{23} + \frac{-3}{8} \cdot \frac{8}{7} + \frac{9}{9}.

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Problem 25

The equation 35=190\frac{3}{5}=\frac{1}{90} is incorrect. Identify the mistake in this statement.

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Problem 26

Calculate 12×17\frac{1}{2} \times \frac{1}{7}.

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Problem 27

Find the quotient of 28×50\frac{2}{8} \times 50 divided by 34×1018\frac{3}{4} \times \frac{10}{18}. Simplify if possible.

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Problem 28

Calculate: 345223+31/22+132/3\frac{3}{4} - \frac{5}{2} \cdot \frac{2}{3} + 3 - \frac{1/2}{2 + \frac{1}{3 - 2/3}}

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Problem 29

Calculate the product: 18421119385\frac{18}{42} \cdot \frac{11}{19} \cdot \frac{38}{5}.

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Problem 30

Calculate the expression: 83×114+32\frac{8}{3} \times 1 - \frac{1}{4} + \frac{3}{2}.

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Problem 31

Calculate (6+512)×(3)\left(-6+\frac{5}{-12}\right) \times(-3).

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Problem 32

Calculate 723×(86)(4518)\frac{7}{23} \times\left(-\frac{8}{6}\right)\left(-\frac{45}{18}\right).

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Problem 33

Calculate the product: 64481114285\frac{64}{48} \cdot \frac{11}{14} \cdot \frac{28}{5}.

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Problem 34

Calculate 723×(86÷4518)\frac{7}{23} \times\left(-\frac{8}{6} \div \frac{45}{18}\right).

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Problem 35

Calculate the value of 64481114285\frac{64}{48} \cdot \frac{11}{14} \cdot \frac{28}{5}.

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Problem 36

¿Qué parte de una ruta, donde la mitad está asfaltada, 1/5 en reparación, 1/6 mejorada, es tierra?

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Problem 37

Trent has 5 oranges, each cut into sixths. How many pieces does he have in total? Calculate: 5×65 \times 6.

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Problem 38

If Jenny makes a 12\frac{1}{2} batch of cookies needing 2142 \frac{1}{4} cups of flour, how much flour is needed?

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Problem 39

Is the product of 34×92\frac{3}{4} \times \frac{9}{2} greater or less than 34\frac{3}{4}?

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Problem 40

Omar walks 13\frac{1}{3} of a driveway that is 25\frac{2}{5} km long. How far does he walk?

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Problem 41

Selesaikan 3+2710153 + 2 \frac{7}{10} - \frac{1}{5}.

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Problem 42

Tukarkan 27102 \frac{7}{10} kepada pecahan tak waiar.

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Problem 43

Bài 1. Tính các biểu thức sau: a) 2+342+\frac{3}{4} b) 13+3274\frac{1}{3}+\frac{3}{2}-\frac{7}{4} c) 56+5814\frac{5}{6}+\frac{5}{8}-\frac{1}{4} d) 512+38×49\frac{5}{12}+\frac{3}{8} \times \frac{4}{9} e) 4515×72\frac{4}{5}-\frac{1}{5} \times \frac{7}{2} f) 169415:25\frac{16}{9}-\frac{4}{15}: \frac{2}{5}

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Problem 44

Calculate 59+12\frac{5}{9}+\frac{1}{2}.

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Problem 45

计算从 (13+23)\left(\frac{1}{3}+\frac{2}{3}\right)(1100++99100)\left(\frac{1}{100}+\cdots+\frac{99}{100}\right) 的总和。

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Problem 46

Calculate 12+(3818)2\frac{1}{2}+\left(\frac{3}{8}-\frac{1}{8}\right)^{2}.

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Problem 47

Un tanque lleno al 58\frac{5}{8} se usó para llenar 80 bidones de 3343 \frac{3}{4} litros. ¿Qué capacidad tiene el tanque?

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Problem 48

Calculate 3÷13+1-3 \div \frac{1}{3} + 1.

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Problem 49

Calculate the expression: 345223+3122+13123 \frac{3}{4} - \frac{5}{2} \cdot \frac{2}{3} + 3 \frac{\frac{1}{2}}{2 + \frac{1}{\frac{3}{1} - \frac{2}{3}}}

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Problem 50

Calculate 34(50×4)\frac{3}{4}(50 \times \sqrt{4}).

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Problem 51

Calculate 3412\frac{3}{4}-\frac{1}{2}.

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Problem 52

Calculate the result of 1334\frac{1}{3}-\frac{3}{4}.

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Problem 53

Determine the sign of 4829+(3989)48 \frac{2}{9} + \left(-39 \frac{8}{9}\right).

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Problem 54

Determine the sign of 2345+(2345)\frac{23}{45} + \left(-\frac{23}{45}\right).

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Problem 55

Determine the sign of 8813+8813-\frac{88}{13}+\frac{88}{13}.

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Problem 56

What is the sign of the expression 35+35\frac{3}{5}+\frac{3}{5}?

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Problem 57

Calculate the sum: 612+713\frac{6}{12}+\frac{7}{13}.

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Problem 58

Calculate the product: 13×12=\frac{1}{3} \times \frac{1}{2}=

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Problem 59

Calculate the product: 12×25=\frac{1}{2} \times \frac{2}{5}=

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Problem 60

Find the product of 15\frac{1}{5} and 23\frac{2}{3}. What is 15×23=?\frac{1}{5} \times \frac{2}{3}=?

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Problem 61

Calculate the value of 6000000×0.021(1+0.02)4\frac{6000000 \times 0.02}{1-(1+0.02)^{-4}}.

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Problem 62

Ali earns RM2500 monthly, pays RM500 rent, saves RM250. What fraction of his remaining money does he have?

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Problem 63

In a Math 101 class of 210 students, 37\frac{3}{7} are female. If 19\frac{1}{9} of females wear glasses, find females not wearing glasses.

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Problem 64

1. What is 13+15\frac{1}{3}+\frac{1}{5}?

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Problem 65

Calculate the sum: 37+310=\frac{3}{7}+\frac{3}{10}=

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Problem 66

Evaluate: (1110)(1111)(11100)(1 - \frac{1}{10})(1 - \frac{1}{11}) \ldots (1 - \frac{1}{100})

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Problem 67

Calculate the value of 51741\frac{517}{41}.

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Problem 68

Convert decimals to whole numbers, simplify fractions, and change improper fractions to mixed numbers. Solve: 1) 0.026\frac{0.02}{6} 2) 1.60.08\frac{1.6}{0.08} 3) 0.01750.07\frac{0.0175}{0.07} 4) 800.4\frac{80}{0.4} 5) 10.04\frac{1}{0.04}

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Problem 69

Convert decimals to whole numbers, simplify fractions, and express improper fractions as mixed numbers or whole numbers. 1) 0.026\frac{0.02}{6} 2) 1.60.08\frac{1.6}{0.08} 3) 0.01750.07\frac{0.0175}{0.07} 4) 800.4\frac{80}{0.4} 5) 10.04\frac{1}{0.04} 6) 0.60.02\frac{0.6}{0.02}

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Problem 70

Convert decimals to whole numbers, simplify fractions, and change improper fractions to mixed numbers or whole numbers.
1) 0.026\frac{0.02}{6} 2) 1.60.08\frac{1.6}{0.08} 3) 0.01750.07\frac{0.0175}{0.07} 4) 800.4\frac{80}{0.4} 5) 10.04\frac{1}{0.04} 6) 0.60.02\frac{0.6}{0.02}

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Problem 71

Calculate: (23)32223=\left(\frac{2}{3}\right)^{3} \cdot 2^{2} \cdot 2^{3}=

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Problem 72

Calculate: 6522335\frac{6^{5} \cdot 2}{2^{3} \cdot 3^{5}}

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Problem 73

Calculate 15×25\frac{1}{5} \times \frac{2}{5}.

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Problem 74

Calculate the sum: 16+611=\frac{1}{6}+\frac{6}{11}=

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Problem 75

Multiply the fractions and simplify: 38(445)\frac{3}{8}\left(4 \frac{4}{5}\right).

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Problem 76

Identify the subsets that include the number 19100-\frac{19}{100}.

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Problem 77

Complete problems 28-36 even, 46-50 even, 52-55 all, 58-62 even, and 69. Identify the real number subsets for each.

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Problem 78

Solve these expressions: (1) 3832\frac{3}{8}-\frac{3}{2}, (2) 38+52\frac{3}{8}+\frac{5}{2}, (3) cos23233\cos \frac{2}{3}-\frac{23}{3}, (4) 734+23i34\frac{7}{34}+\frac{23 i}{34}.

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Problem 79

Bestimme, welcher Bruchteil eines Ganzen durch den Bruch 36\frac{3}{6} dargestellt wird!

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Problem 80

Simplify the fraction 6/9.

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Problem 81

Simplify the fraction 216 \frac{2}{16} .

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Problem 82

Calculate 6524245\sqrt{\frac{6}{5} \cdot \frac{24}{245}}.

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Problem 83

Which of these fractions equals a whole number: 53\frac{5}{3}, 13\frac{1}{3}, 93\frac{9}{3}, 23\frac{2}{3}?

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Problem 84

What fraction equals 28\frac{2}{8}? A. 14\frac{1}{4} B. 24\frac{2}{4} C. 48\frac{4}{8} D. 68\frac{6}{8}

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Problem 85

Place the point on the number line to represent the value of 86\frac{8}{6}.

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Problem 86

Simplify the fraction 14532\frac{14}{532}.

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Problem 87

Calculate 6:235+3566: 2 \frac{3}{5}+3 \frac{5}{6}.

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Problem 88

Multiply 58\frac{5}{8} by 1271 \frac{2}{7}. Simplify the result and show your work.

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Problem 89

Find ab\sqrt{a-b} if a=1916a=1 \frac{9}{16} and b=11125b=1 \frac{11}{25}. Options: (a) 7/207 / 20 (b) 7/217 / 21 (c) 8/198 / 19 (d) 6/176 / 17 (e) None.

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Problem 90

Calculate 7÷19107 \div 1 \frac{9}{10} and choose the correct answer: A) 1970-\frac{19}{70}, B) 64156 \frac{4}{15}, C) 313193 \frac{13}{19}, D) 6126 \frac{1}{2}.

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Problem 91

Calculate: (69273 - 6398) + (1701 ÷ 63), √256 + ∛27, and 2⅔ - 3⅕ + 1¼.

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Problem 92

Diego ran 812 km8 \frac{1}{2} \mathrm{~km}, which is 23\frac{2}{3} of the race. Find equations for the race length. Select all: A, B, C, D, E, F.

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Problem 93

Does 4÷344 \div \frac{3}{4} equal 5145 \frac{1}{4}? Discuss Lin's claim about groups of 34\frac{3}{4} and leftovers.

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Problem 94

Determine the value of 12÷3812 \div \frac{3}{8}. Which reasoning statements are correct? A, B, C, or D?

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Problem 95

Divide 23\frac{2}{3} by 14\frac{1}{4} and show your work.

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Problem 96

Calculate 56÷712\frac{5}{6} \div \frac{7}{12}.

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Problem 97

Simplify 1231 \frac{2}{3} hours to 45 minutes in lowest terms.

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Problem 98

Calculate 38+18\frac{3}{8}+\frac{1}{8}.

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Problem 99

Calculate 5737\frac{5}{7}-\frac{3}{7}.

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Problem 100

Calculate 1112312\frac{11}{12}-\frac{3}{12}.

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