Question

Simplify and write the result in decimal form:

`(1 ÷ 2/9) + (1 ÷ 3 1/5) +  (1 ÷ 2 2/3)`

Answer 1

Given, `(1 ÷ 2/9) + (1 ÷ 3 1/5) +  (1 ÷ 2 2/3)`

= `(1 ÷ 2/9) + (1 ÷ ((5 xx 3) + 1)/5) + (1 ÷ ((2 xx 3) + 2)/3)`

= `(1 xx 9/2) + (1 ÷16/5) + (1 ÷8/3)`

= `(1 xx 9/2) + (1 xx 5/16) + (1 xx 3/8)`

= `9/2 + 5/16 + 3/8`

= `(72 + 5 + 6)/16`  ...[Taking LCM]

= `83/16`

= 5.1875