Question

Please answer the following by ordering he cards correctly:

Answer 1

`( (7)/(10) - (5)/(8) )` ÷
`(1)/(16) = (6)/(5)`

Explanation:

`( (7)/(10) - (5)/(8) )` ÷
`(1)/(16)`

first, do the equation in the bracket:

⇒
`(7)/(10) - (5)/(8)`

before solving, make sure both denominators are the same:

⇒
`(7)/(10) x 8 = (56)/(80)`

⇒
`(5)/(8) x 10 = (50)/(80)`

solve with new equations:

⇒
`(56)/(80) - (50)/(80)`

⇒
`(6)/(80)`

next take
`(6)/(80)` and divide it to
`(1)/(16)`:

( when dividing fractions, multiply the first fraction by the reciprocal of the second fraction =
`(6)/(80)` x
`(16)/(1)` )

⇒
`(6)/(80)` x
`(16)/(1)`

⇒
`(96)/(80)`

reduce the fraction:

⇒
`(96)/(80)` =
`(6)/(5)`