Question

$\huge\mathfrak\red{Question\:❣}\ \textless \ br /\ \textgreater$

Find the following ratios in the simplest or lowest form:

$\large\mathfrak\orange{(i). \: \: \frac{1}{4} \: : \: \frac{1}{8} \: : \frac{1}{2}}$
$\large\mathfrak\orange{(ii).\:1 \frac{1}{6} \: : \: 1 \frac{3}{4} \: : \: 2 \frac{1}{3}}$
$\large\mathfrak\blue{Please\:solve\:it}$
​

Answer 1

$\bf \:\large \red{AηsωeR : 1} ✍$

$\bf \:  \large\mathfrak{(i). \: \: \frac{1}{4} \: : \: \frac{1}{8} \: : \frac{1}{2}}$

✏ Take out the lcm, we get

$\bf \:  ⟼ 2 : 1 : 4$

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$\bf \:\large \red{AηsωeR : 2} ✍$

$\large\mathfrak{\bf \:  ⟼\:1 \frac{1}{6} \: : \: 1 \frac{3}{4} \: : \: 2 \frac{1}{3}}$

$\bf \:  ⟼ \dfrac{7}{6} : \dfrac{7}{4} : \dfrac{7 }{3}$

✏ Divide each ratio by 7, we get

$\bf \:  ⟼ \dfrac{1}{6} : \dfrac{1}{4} : \dfrac{1 }{3}$

✏ Take out the LCM, we get,

$\bf\implies \:2 : 3 : 4$

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