Question

Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5​

Answer 1

0.395

Explanation:

We need to solve the given expression.

`-(3)/(4)* (4)/(5)-(1)/(2)*(1)/(4)+(4)/(5)* (7)/(5)`

We can also write it as :

`-(3)/(4)* (4)/(5)+(4)/(5)* (7)/(5)-(1)/(2)*(1)/(4)\\\\=(4)/(5)((-3)/(4)+(7)/(5))-(1)/(2)*(1)/(4)`(Distributive property is used)

So,

`=(4)/(5)* (13)/(20)-(1)/(2)*(1)/(4)\\\\=(4)/(5)* (13)/(20)-(1)/(8)\\\\=(13)/(25)-(1)/(8)\\\\=0.395`

So, the value of the given expression is equal to 0.395.