Question

Find the smaller ratio 4:7 and 5:8

Answer 1

4/7 + 5/8 = 76/56 =19/14=19:14

Answer 2

Answer :-

The smaller Ratio is 4:7

Explaination:-

Step 1 :-

First convert them into fractions.

Corresponding Fractions of 4:7 and 5:8 are =

$\tt{ \rightarrow \dfrac{4}{7} \: and \: \dfrac{5}{8} }$

Step 2 :-

Convert them into like Fractions :

LCM of 7 and 8 :

$\begin{array}{r|l}7 & 7,8\\\cline{1-2} 2 & 1,8\\\cline{1-2} 2 &1, 4\\ \cline{1-2} 2& 1,2\\\cline{1-2} & 1,1\end{array}$

LCM = 7 × 2 × 2 × 2

LCM = 56

Step 3:-

$\tt{ \Rightarrow \: \dfrac{4 \times 8}{7 \times 8} \: \: \: \: \: \dfrac{5 \times 7}{8 \times 7} }$

$\tt{ \Rightarrow \: \dfrac{32}{56} \: \: and \: \: \dfrac{35}{56} }$

$\tt{ \Rightarrow \: \dfrac{32}{56} \: \: < \: \: \dfrac{35}{56} }$

$\tt{ \Rightarrow \: \dfrac{4}{7} \: \: < \: \: \dfrac{5}{8} }$

$\tt{ \Rightarrow 4: 7 < 5 : 8 }$

$\therefore$The smaller Ratio is 4:7