Question

21 . 1/2:1/6:1/10 express in simpler form​

Answer 1

Answer:

15 : 5 : 3

Step-by-step explanation:

$\frac{1}{2} : \frac{1}{6} : \frac{1}{10} \\ \\In \: \: the \: \: given \: \: ratio, \\ the \: \: denominators \: \: of \: \: the \: \: fractions \: \: are \: \: different. \\ So, \: \: Let's \: \: find \: \: the \: \: LCM \\ of \: \: denominators \: \: of \: \: the \: \: fractions. \\ \\ LCM \: \: of \: \: 2, \: \: 6, \: \: 10 = 30 \\ \\ To \: \: make \: \: denominators \: \: of \: \: fractions = 30, \\ let's \: \: multiply \: \: the \: \: terms \: \: of \\ ratio \: \: by \: \: 15, \: \: 5, \: \: and \: \: 3 \: \: respectively \\ \\ \frac{1}{2} : \frac{1}{6} : \frac{1}{10} \\ ( \frac{1 \times 15}{2 \times 15}) : ( \frac{1 \times 5}{6 \times 5} ) : (\frac{1 \times 3}{10 \times 3} ) \\ = \frac{15}{30} : \frac{5}{30} : \frac{3}{30} \\ \\ Now, \: \: the \: \: denominators \: \: of \: \: fractions \: \: are \: \: equal. \\ So, \: \: we \: \: can \: \: simplify \: \: the \: \: ratio \: \: as : \\ \\ \frac{15}{30} : \frac{5}{30} : \frac{3}{30} \\ = \large{ \bf{15 : 5 : 3}}$