Express the following ratios in the simplest form.
(a) $36 : 16$
(b) $324 : 144$
(c) $125 : 1125$

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Solution

(a) $\frac{36}{16} = \frac{9}{4}$
$36 : 16 = 9 : 4$
(b) $\frac{324}{144} = \frac{9}{4}$
$324 : 144 = 9 : 4$
(c) $\frac{125}{1125} = \frac{125}{1125} = \frac{5}{45} = \frac{1}{9}$
$∴ 125 : 1125 = 1 : 9$

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Express the following ratios in the simplest form.(a) 36:16(b) 324:144(c) 125:1125

(a) 3616=94 36:16=9:4(b) 324144=94 324:144=9:4(c) 1251125=1251125=545=19 ∴125:1125=1:9

Express the following ratios in the simplest form.
(a) $36 : 16$
(b) $324 : 144$
(c) $125 : 1125$

(a) $\frac{36}{16} = \frac{9}{4}$
$36 : 16 = 9 : 4$
(b) $\frac{324}{144} = \frac{9}{4}$
$324 : 144 = 9 : 4$
(c) $\frac{125}{1125} = \frac{125}{1125} = \frac{5}{45} = \frac{1}{9}$
$∴ 125 : 1125 = 1 : 9$