CheerMath

Grade 6 Fractions, Decimals & Percents Practice

Connect Fractions, Decimals, and Percents

Add percents to the picture! Connect hundredths to percents, convert in every direction between fractions, decimals and percents, and compare all three forms.

Also known as Class 6 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. Review Fraction and Decimal Conversions

    What is 15\frac{1}{5} written as a decimal?
    • 0.15
    • 0.51
    • 0.25
    • 0.2
    Show answer
    Answer:
    0.2

  2. Compare Simple Fractions, Decimals, and Percents

    What is the correct relationship between 18\frac{1}{8} and 0.1?
    • 18  <  \frac{1}{8} \; < \;0.1
    • 18  >  \frac{1}{8} \; > \;0.1
    • They are equal
    • 18  =  \frac{1}{8} \; = \;0.013
    Show answer
    Answer:
    18  >  \frac{1}{8} \; > \;0.1

  3. Connect Hundredths, Decimals, and Percents

    What percent is equal to the decimal 0.6?
    Show answer
    Answer:
    60

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A worked example

What is 15\frac{1}{5} written as a decimal?
  1. We need to find the decimal form of 15\frac{1}{5}. To convert a fraction to a decimal, divide the numerator by the denominator.
  2. Divide 1  ÷  51 \; \div \; 5:
  3. 5 ) ‾0.25 ) 1.0‾10‾0\begin{array}{r} \phantom{5\,\overline{\smash{\big)}\,}}0.2 \\ 5\,\overline{\smash{\big)}\,1.0} \\ \underline{10} \\ 0 \end{array} \\[6pt]5 does not go into 1 (since 1 < 5), so the whole-number part is 0. We place a decimal point and bring down a 0 to continue dividing. Now we have 10.\\5 goes into 10 exactly 2 times→5×2=10\to 5 \times 2 = 10. Subtract→10−10=0\to 10 - 10 = 0. No remainder
  4. Therefore 15=\frac{1}{5} =0.2.

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