CLASS 6 MATHS · FRACTIONS

Equivalent fractions and simplest form

Divide top and bottom by their HCF to get the simplest form. Multiply both by the same number for an equivalent fraction.

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Worked examples

Example 1 · level 1

Write 15/18 in its simplest form.

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HCF(15, 18) = 3.
15 ÷ 3 = 5, 18 ÷ 3 = 6.
Simplest form: 5/6.

Answer: 5/6

Example 2 · level 2

Fill the blank: 3/8 = ?/40

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40 ÷ 8 = 5.
3 × 5 = 15, so 3/8 = 15/40.

Answer: 15

Example 3 · level 3

Aarav ate 4 of the 14 pieces of barfi made for Durga Puja. Write 4/14 in its simplest form.

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HCF(4, 14) = 2.
4 ÷ 2 = 2, 14 ÷ 2 = 7.
Simplest form: 2/7.

Answer: 2/7