Question

The some of two rational numbers 3/5. If one the number is 4 /15 find the other.? ​

Answer 1

Answer:

1/3

Explanation:

Given :-

• Sum of two rational number is 3/5

• One is 4/15

To Find :-

• Other number,x

Solution :-

Let the other number be “x”

$\sf{}\Rightarrow \dfrac{4}{15}+ x =\dfrac{3}{5}$

$\sf{}\Rightarrow x =\dfrac{3}{5} - \dfrac{4}{15}$

$\sf{}\Rightarrow x =\dfrac{3\times 3-4\times1}{15}$

$\sf{}\Rightarrow x =\dfrac{9-4}{15}$

$\sf{}\Rightarrow x =\dfrac{5}{15}$

$\sf{}\Rightarrow x =\dfrac{1}{3}$

☆Verification☆

$\sf{}\Rightarrow \dfrac{4}{15}+ \dfrac{1}{3} =\dfrac{3}{5}$

$\sf{}\Rightarrow \dfrac{4\times 1+1\times 5}{15} =\dfrac{3}{5}$

$\sf{}\Rightarrow \dfrac{4+5}{15} =\dfrac{3}{5}$

$\sf{}\Rightarrow \dfrac{9}{15} =\dfrac{3}{5}$

$\sf{}\Rightarrow \dfrac{3}{5} =\dfrac{3}{5}$

LHS = RHS

Hence,verified

Therefore,the other number is 1/3