Topic 3 of 8 · Grade 7
Fractions, decimals and percentages
Place value: tenths, hundredths, thousandths. 0.75 = 75/100 = ¾.
Notes for this topic 1 file, in order
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Fractions
- Equivalent fractions: ½ = 2/4 = 3/6.
- Simplify by dividing top and bottom by the same number: 12/16 = ¾.
- Mixed numbers and improper fractions: 2⅓ = 7/3.
- Add and subtract using a common denominator: ½ + ⅓ = 3/6 + 2/6 = 5/6.
- Multiply: multiply tops and bottoms: ⅔ × ¾ = 6/12 = ½.
- Divide: turn the second fraction upside down and multiply: ½ ÷ ¼ = ½ × 4 = 2.
Decimals
Place value: tenths, hundredths, thousandths. 0.75 = 75/100 = ¾.
Percentages
Per cent means "out of 100". 25% = 25/100 = ¼ = 0.25.
Worked example: Find 15% of 80.
15/100 × 80 = 12
Worked example: A learner scored 36 out of 40. What percentage is that?
36/40 × 100 = 90%
Converting
Fraction → decimal: divide (⅜ = 0.375). Decimal → percentage: multiply by 100 (0.6 = 60%).
Exam tip: Learn the common ones by heart: ½ = 0.5 = 50%, ¼ = 0.25 = 25%, ⅕ = 0.2 = 20%, ⅒ = 0.1 = 10%.
Check yourself
- Simplify 18/24.
- Work out ⅖ + ⅓.
- What is 20% of 150?
Show answers
- ¾
- 6/15 + 5/15 = 11/15
- 30
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