Fractions — Grade 5 Math 练习题

Grade 5 中等难度 10 道题

Fractions represent parts of a whole. The numerator (top) counts how many parts you have; the denominator (bottom) tells how many equal parts make the whole.

To add or subtract fractions with unlike denominators, find a common denominator first — usually the least common multiple (LCM). Then add or subtract the numerators while keeping the denominator the same.

To multiply fractions, multiply numerators together and denominators together. Simplify your final answer to lowest terms by dividing numerator and denominator by their GCF.

练习的技能

  • Finding common denominators
  • Adding and subtracting fractions
  • Multiplying fractions
  • Simplifying to lowest terms
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练习题：Fractions

说明： 仔细解答每一道题。清晰地展示所有解题过程。在指定位置或按指示在另一张纸上写出最终答案。

  1. 1.A recipe calls for 34\frac{3}{4} cup of sugar. If you want to make only 12\frac{1}{2} of the recipe, how much sugar do you need? Express your answer in simplest form.

Fractions — 练习题（续）

  1. 2.Add: 25+310\frac{2}{5} + \frac{3}{10}. Simplify your answer.
  2. 3.Subtract: 78−14\frac{7}{8} - \frac{1}{4}. Simplify your answer.

Fractions — 练习题（续）

  1. 4.Multiply: 23×56\frac{2}{3} \times \frac{5}{6}. Simplify your answer.
  2. 5.Divide: 49÷23\frac{4}{9} \div \frac{2}{3}. Simplify your answer.

Fractions — 练习题（续）

  1. 6.A pizza is cut into 8 equal slices. If you eat 38\frac{3}{8} of the pizza and your friend eats 14\frac{1}{4} of the pizza, what fraction of the pizza is left?
  2. 7.Compare: 34\frac{3}{4} \_\_\_\_\_ 58\frac{5}{8}. Write <<, >>, or == in the blank.

Fractions — 练习题（续）

  1. 8.Convert 175\frac{17}{5} to a mixed number.
  2. 9.Convert 2372\frac{3}{7} to an improper fraction.

Fractions — 练习题（续）

  1. 10.A ribbon is 3123\frac{1}{2} feet long. You cut off 23\frac{2}{3} of a foot. How much ribbon is left? Express your answer as a mixed number.

参考答案

  1. 1.
    34×12=38\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}
    最终答案： 38\frac{3}{8} cup of sugar
  2. 2.
    25=410\frac{2}{5} = \frac{4}{10}, so 410+310=710\frac{4}{10} + \frac{3}{10} = \frac{7}{10}
    最终答案： 710\frac{7}{10}
  3. 3.
    14=28\frac{1}{4} = \frac{2}{8}, so 78−28=58\frac{7}{8} - \frac{2}{8} = \frac{5}{8}
    最终答案： 58\frac{5}{8}
  4. 4.
    23×56=1018=59\frac{2}{3} \times \frac{5}{6} = \frac{10}{18} = \frac{5}{9}
    最终答案： 59\frac{5}{9}
  5. 5.
    49÷23=49×32=1218=23\frac{4}{9} \div \frac{2}{3} = \frac{4}{9} \times \frac{3}{2} = \frac{12}{18} = \frac{2}{3}
    最终答案： 23\frac{2}{3}

参考答案（续）

  1. 6.
    14=28\frac{1}{4} = \frac{2}{8}, so eaten: 38+28=58\frac{3}{8} + \frac{2}{8} = \frac{5}{8}. Left: 1−58=381 - \frac{5}{8} = \frac{3}{8}
    最终答案： 38\frac{3}{8}
  2. 7.
    34=68\frac{3}{4} = \frac{6}{8}, and 68>58\frac{6}{8} > \frac{5}{8}, so 34>58\frac{3}{4} > \frac{5}{8}
    最终答案： >>
  3. 8.
    最终答案： 3253\frac{2}{5}
  4. 9.
    237=2×7+37=1772\frac{3}{7} = \frac{2 \times 7 + 3}{7} = \frac{17}{7}
    最终答案： 177\frac{17}{7}
  5. 10.
    312=72=2163\frac{1}{2} = \frac{7}{2} = \frac{21}{6}, 23=46\frac{2}{3} = \frac{4}{6}, so 216−46=176=256\frac{21}{6} - \frac{4}{6} = \frac{17}{6} = 2\frac{5}{6} feet
    最终答案： 2562\frac{5}{6} feet
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需要避免的常见错误

  • Adding denominators when adding fractions
  • Forgetting to simplify the final answer
  • Not converting mixed numbers to improper fractions first
  • Finding a common denominator when multiplying (not needed)

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