Question

If a:b =2:3 write b as a fraction of a​

Answer 1

Answer:

given ,

$\fbox{a:b = 2:3}$

According to Question ,

we've to write b as a fraction of a.

thus , we know that

$a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} }$

now to represent b as a fraction of a ,

we'll have to consider the ratio as b : a

which means ,

$b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }$

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hope helpful :D

Answer 2

Answer:

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

Step-by-step explanation:

express the ratios in fractional form

$\frac{a}{b}$ = $\frac{2}{3}$ ( cross- multiply )

2b = 3a ( divide both sides by 2 )

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