Question

Match the equivalent fractions and write two more for each. (i) $\frac{250}{400}$ (ii) $\frac{180}{400}$ (iii) $\frac{660}{990}$ (iv) $\frac{180}{360}$ (v) $\frac{220}{520}$ (a)$\frac{2}{3}$ (b)$\frac{2}{5}$ (c)$\frac{1}{2}$ (d)$\frac{5}{8}$ (e) $\frac{9}{10}$

Answer 1

(i) $\frac{250}{400}$

Greatest Common Factor of 250 and 400 is 50.

$\frac{250 }{ 400} ÷ \frac{50 }{ 50}$ = $\frac{5 }{ 8}$

∴ $(i)\equiv(d)$

Two more equivalent fractions are $\frac{5 }{ 8} × \frac{3 }{ 2} = \frac{15 }{ 16}$ and $\frac{5 }{ 8} × \frac{3 }{3} = \frac{15 }{ 24}$.

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(ii) $\frac{180}{400}$

Greatest Common Factor of 180 and 200 is 20.

$\frac{180}{400}$ ÷ $\frac{20 }{ 20}$ = $\frac{9 }{ 10}$

∴ $(ii) \equiv (e)$.

Two more equivalent fractions are $\frac{9 }{10} ×\frac{ 3}{ 2} = \frac{27 }{ 20}$ and $\frac{9 }{ 10} × \frac{3 }{3} = \frac{27 }{ 30}$.

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(iii) $\frac{660}{990}$

Greatest Common Factor of 660 and 990 is 330.

$\frac{660}{990}$ ÷ $\frac{330 }{ 330}$ = $\frac{2 }{3}$

∴ $(iii) \equiv (a)$.

Two more equivalent fractions are $\frac{2 }{ 3} × \frac{2 }{ 2}$ = 4 / 6 and 2 /3 × 3 /3 = 6 / 9.

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(iv) $\frac{180}{360}$

Greatest Common Factor of 180 and 360 is 18.

$\frac{180}{360}$ ÷ $\frac{18 }{ 18}$ = $\frac{1 }{2}$.

∴ $(iv) \equiv (c)$.

Two more equivalent fractions are $\frac{1}{2} ×\frac{ 2 }{ 2} = \frac{2 }{ 4}$ and $\frac{1}{2} × \frac{3 }{3} = \frac{3 }{ 6}$.

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(v) 220 / 550

Greatest Common Factor of 220 and 550 is 110.

$\frac{220 }{ 550} ÷ \frac{110 }{ 110} = \frac{2 }{5}$

∴ $(v) \equiv (b)$.

Two more equivalent fractions are $\frac{2 }{ 5} × \frac{3} {4} = \frac{6}{20}$ and $\frac{2}{ 5} × \frac{3 }{3} = \frac{6 }{ 15}$.