Question

Find the value of: `((0.2 xx 0.14) + (0.5 xx 0.91))/((0.1 xx 0.2))`

Answer 1

Given, `((0.2 xx 0.14) + (0.5 xx 0.91))/((0.1 xx 0.2))`

∵ 0.2 = `2/10`, 0.14 = `14/100` and 0.5 = `5/10`

0.91 = `91/100`, 0.1 = `1/10` and 0.2 = `2/10`

∴ `((0.2 xx 0.14) + (0.5 xx 0.91))/((0.1 xx 0.2)) = ((2/10 xx 14/100) + (5/10 xx 91/100))/((1/10 xx 2/10))`

= `((2 xx 14)/1000 + (5 xx 91)/1000)/((1 xx 2)/100`

= `(28/100 + 455/1000)/(2/100)`

= `((28  +  455)/1000)/(2/100)`

= `(483/100)/(2/100)`

= `483/1000 xx 100/2`  ......[∵ Division is reverse of the multiplication]

= `483/(10 xx 2)`

= `241.5/10`

= 24.15