Question

3/4 x 3 2/5 - 5/5(find the value of each of the following) ​

Answer 1

The value of the given expression is
`(-13)/(20).`

Solution:

Given expression is
`(3)/(4) *3(2)/(5)-(5)/(5)`.

Let us first convert mixed fraction into improper fraction.

`3(2)/(5)=((3*5)+2)/(5)=(17)/(5)`

Substitute this in the given expression.

`(3)/(4) *3(2)/(5)-(5)/(5)=(3)/(4) *(7)/(15)-(5)/(5)`

`=(21)/(60)-(5)/(5)`

To simplify the above expression, 21 and 60 are cancelled by 3.

`=(7)/(20)-(1)/(1)`

Do cross multiplication to make the denominator same.

`=(7)/(20)-(20)/(20)`

`=(7-20)/(20)`

`=(-13)/(20)`

The value of the given expression is
`(-13)/(20).`