Question

(show ur work) what is 8 x 7 ¾ =

Answer 1

`62`

Explanation:

`8\cdot \:7(3)/(4)`

`7(3)/(4)`

`7(3)/(4)=(7\cdot 4+3)/(4)`

`=(31)/(4)`

`=8\cdot (31)/(4)`

`\mathrm{Convert\:element\:to\:fraction}:\quad \:8=(8)/(1)`

`=(8)/(1)\cdot (31)/(4)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d)`

`=(8\cdot \:31)/(1\cdot \:4)`

`\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4`

`=(8\cdot \:31)/(4)`

`\mathrm{Divide\:the\:numbers:}\:(8)/(4)=2`

`=2\cdot \:31`

`\mathrm{Multiply\:the\:numbers:}\:2\cdot \:31=62`

`=62`