Question

simplify the following ratios. 1 /4:1/6:1/8​

Answer 1

this is the answer ...

Answer 2

$\frac{1}{4} : \frac{1}{6} : \frac{1}{8} \\ Firstly, \: \: find \: \: LCM \: \: of \: \: denominators \\ LCM \: (4, \: 6, \: 8) = 24 \\ \\ Secondly, \: \: multiply \: \: the \: \: fractions \\ into \: \: 6, \: 4 \: and \: \: 8 \: \: to \: make \: \: denominators \\ of \: \: fractions \: \: same \\ \\ \frac{1}{4} : \frac{1}{6} : \frac{1}{8} \\ = \frac{1 \times 6}{4 \times 6} : \frac{1 \times 4}{6 \times 4} : \frac{1 \times 3}{8 \times 3} \\ = \frac{6}{24} : \frac{4}{24} : \frac{3}{24} \\ \\ Now, \: \: the \: \: denominators \: \: of \: \: the \\ fractions \: \: are \: \: same. \: \: Therefore, \: \: we \: \: can \\ simplify \: \: it \: \: in \: \: ratio \: \: form \\ \\ \frac{1}{4} : \frac{1}{6} : \frac{1}{8} \\ = \frac{6}{24} : \frac{4}{24} : \frac{3}{24} \\ = \: \: \boxed{\bold {\underline{ \underline{6 : 4 : 3}}}}$