Question

Find the ratio a:b, if 2a−b/6 = b/3

Answer 1

If 2a−b/6 = b/3, then ratio a:b = 3 : 2

Solution:

Given that 2a−b/6 = b/3

We have to find the ratio of a:b

In mathematics, a ratio indicates how many times one number contains another

A ratio between two or more quantities is a way of measuring their sizes compared to each other

let us first solve the given expression

$\frac{2a -b}{6} = \frac{b}{3}$

On cross multiplication we get,

6a - 3b = 6b

6a = 6b + 3b

6a = 9b

$a = \frac{9b}{6}\\\\\frac{a}{b} = \frac{3}{2}$

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number

Therefore ratio a:b = 3 : 2