Maths Library

Fractions, Decimals, and Percents: Grade 7 math

This topic covers converting between equivalent fractions, decimals, and percentages. Students practise identifying common benchmarks and applying systematic conversion techniques.

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What this covers

Fractions, Decimals, and Percents is taught in Grade 7 (age 12 to 13) as a main teaching focus. It sits in the Fractions strand.

Worked example

Convert 38 into a percentage

  1. Convert fraction to decimal: 38 = 0.375
  2. Multiply decimal by 100 to get percentage: 0.375 x 100
  3. Result: 37.5%

Answer: 37.5%

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Common benchmarks: halves, quarters, tenths, hundredths
  2. Common conversions with fifths and eighths, e.g. 35, 58
  3. Converting recurring or trickier values, e.g. thirds, sixths, or 2 d.p. decimals
  4. Mixed numbers to improper percentages and decimals greater than 1
  5. Comparing, ordering, and equivalence tables mixing all three forms

Common mistakes

  • Writing a decimal directly as a percentage without multiplying by 100 (e.g. 0.4 = 4%)
  • Treating denominator as percentage directly (e.g. 3/20 = 3%)

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 7.NS.A.2 Multiply and divide rational numbers, converting between fractional and decimal representations.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Fractions, Decimals, and Percents

Grade 7 math

Qs
6
Marks
6
NameDateScore / 6
1.
Write 20% as a fraction in its simplest form.
[1]
2.
Write 75% as a fraction in its simplest form.
[1]
3.
Write 110 as a percentage.
[1]
4.
Write 34 as a percentage.
[1]
5.
Write 75% as a fraction in its simplest form.
[1]
6.
Write 34 as a decimal.
[1]

Answer key

  1. 1520% means 20 out of 100; Simplify: 15
  2. 3475% means 75 out of 100; Simplify: 34
  3. 10%1 ÷ 10 = 0.1, and 0.1 × 100 = 10
  4. 75%3 ÷ 4 = 0.75, and 0.75 × 100 = 75
  5. 3475% means 75 out of 100; Simplify: 34
  6. 0.753 ÷ 4 = 0.75