Question

if a/b = 6/7 then find the ratio 2a+7b/7b​

Answer 1

Answer:

We have,

ba=35

Since,

6a−7b5a+8b

Therefore,

⇒6ba−75ba+8

⇒635−7535+8

⇒330−7325+8

⇒30−2125+24

⇒949

Hence, this is the answer.

Answer 2

Given :

$\frac{a}{b}$ = $\frac{6}{7}$

To Find :

The value of $\frac{2a + 7b}{7b}$

Solution :

Given,  $\frac{a}{b}$ = $\frac{6}{7}$

∴         a = $\frac{6b}{7}$

∴  $\frac{2a + 7b}{7b}$

Now, putting the value of a in  $\frac{2a + 7b}{7b}$.

=  $\frac{2*\frac{6b}{7} + 7b}{7b}$

= $\frac{\frac{12b}{7} + 7b}{7b}$   (as 2×6b = 12b)

= $\frac{12b + 49b}{7b *7}$    

= $\frac{61b}{49b}$

= $\frac{61}{49}$

Therefore, the ratio of  $\frac{2a + 7b}{7b}$ is found to be $\frac{61}{49}$.

What is a ratio?

The ratio is that number which is used to express one quantity as a fraction of the other ones.