CheerMath

Grade 5 Fractions Practice

Simplest Form, Common Denominators, and Adding and Subtracting Unlike Fractions

Simplify fractions with the greatest common factor, find the least common denominator, and add and subtract fractions that don't match.

Also known as Class 5 maths — the same topics, whether your school calls it grade, class or year.

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Sample questions

A few samples from this topic — try one, then show the answer.

  1. Add Whole Numbers and Fractions

    Find the sum of 12  +  310\frac{1}{2} \; + \; \frac{3}{10}.
    • 25\frac{2}{5}
    • 910\frac{9}{10}
    • 710\frac{7}{10}
    • 45\frac{4}{5}
    Show answer
    Answer:
    45\frac{4}{5}

  2. Subtract Fractions from Whole Numbers

    Calculate 103  −  135\frac{{10}}{{3}} \; - \; \frac{{13}}{{5}}.
    Show answer
    Answer:
    11/15

  3. Simplify Fractions Using the Greatest Common Factor

    Write 1435\frac{14}{35} in simplest form.
    Show answer
    Answer:
    2/5

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A worked example

Find the sum of 12  +  310\frac{1}{2} \; + \; \frac{3}{10}.
  1. Add 12  +  310\frac{1}{2} \; + \; \frac{3}{10}. The denominators are different, so we cannot add the numerators directly. We need to rewrite the fractions so they share the same denominator.
  2. Since 10 ÷ 2 = 5, 10 is a multiple of 2, so the LCD = 10.10÷2=5\\ 10 \div 2 = 5, so 12=1×52×5=510\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}.310\\ \frac{3}{10} already has denominator 10.
  3. Now add the numerators→510+310=5+310=810\to \frac{5}{10} + \frac{3}{10} = \frac{5 + 3}{10} = \frac{8}{10}.
  4. Simplify 810\frac{8}{10}. The GCD of 8 and 10 is 2, so divide both by 2→8÷210÷2=45\to \frac{8 \div 2}{10 \div 2} = \frac{4}{5}.

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