Explain how to convert a percentage to a fraction without a denominator of 100 | Maths

Starter quiz

Match the fraction to the correct percentage.

${25} \over {100}$

⇔

25% ✓

${99} \over {100}$

⇔

99% ✓

${1} \over {100}$

⇔

1% ✓

${67} \over {100}$

⇔

67% ✓

${44} \over {100}$

⇔

44% ✓
Look at the number of squares that are shaded in this one-hundred square representation. Which statements are correct?

${90} \over {100}$ is shaded

9% is shaded ✓

${9} \over {100}$ is shaded ✓

90% is shaded
Complete the missing percentage. ${19} \over {100}$ = ______%

'19' ✓
Match the percentage to the correct decimal number.

40%

⇔

0.4 ✓

10%

⇔

0.1 ✓

80%

⇔

0.8 ✓

50%

⇔

0.5 ✓

90%

⇔

0.9 ✓
Match the decimal number to the correct fraction or percentage.

${3} \over {100}$

⇔

0.03 ✓

57%

⇔

0.57 ✓

${12} \over {100}$

⇔

0.12 ✓

38%

⇔

0.38 ✓
What does the representation show?

68% ✓

0.68 ✓

0.86

${68} \over {100}$ ✓

Exit quiz

Match the fraction to the correct percentage.

${3} \over {10}$

⇔

30% ✓

${8} \over {10}$

⇔

80% ✓

${1} \over {10}$

⇔

10% ✓

${4} \over {10}$

⇔

40% ✓

${9} \over {10}$

⇔

90% ✓
Match the fractions that are equivalent.

${20} \over {100}$

⇔

${2} \over {10}$ ✓

${40} \over {100}$

⇔

${4} \over {10}$ ✓

${70} \over {100}$

⇔

${7} \over {10}$ ✓

${90} \over {100}$

⇔

${9} \over {10}$ ✓
What does the representation show?

${6} \over {10}$ ✓

6%

${6} \over {100}$

${60} \over {100}$ ✓

60% ✓
$Look at the image. What fractions are equivalent to the ones shown?$

Look at the image. What fractions are equivalent to the ones shown?

${25} \over {100}$ =

⇔

${1} \over {4}$ ✓

${50} \over {100}$ =

⇔

${1} \over {2}$ ✓

${75} \over {100}$ =

⇔

${3} \over {4}$ ✓
$What is the missing denominator in this fraction? <span class="blank">______</span>$

What is the missing denominator in this fraction? ______

'50' ✓
$40% of the one-hundred squares is shaded. Tick the fractions that are equivalent to 40%$

40% of the one-hundred squares is shaded. Tick the fractions that are equivalent to 40%

${40} \over {100}$ ✓

${4} \over {100}$

${4} \over {10}$ ✓

${4} \over {5}$

${2} \over {5}$ ✓

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

Start by converting each percentage into a fraction with a denominator of 100
Then, divide the denominator and numerator by a common factor.
25% is equal to one-quarter and 75% is equal to three-quarters.

Common misconception

Pupils may not convert percentages into fractions with denominators of 100 before attempting other conversions.

Encourage pupils to always write percentages as fractions with denominators of 100 before trying to find other fraction equivalents. Show them how missing this key step can lead to errors.

Keywords

Convert - Convert means to change from one form to another.
Percent - Percent means the number of parts in each hundred.
Percentage - A percentage is a proportion of a whole.