Question

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

Answer 1

b =
`(3)/(2)` a

Explanation:

express the ratios in fractional form

`(a)/(b)` =
`(2)/(3)` ( cross- multiply )

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

b =
`(3)/(2)` a

Answer 2

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 = (a)/(b) \\ \\ \dashrightarrow{2:3 = (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 = (b)/(a) = (3)/(2) }`

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