Question

(a) Work out the reciprocal of 1.25

Answer 1

0.8 OR
`(4)/(5)`

Explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

`(x)/(y) *(y)/(x) =(xy)/(xy) =1`

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

`(125/25)/(100/25)=(5)/(4)`

Now we just flip 5/4 to get our reciprocal:

`(4)/(5)` = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 (
`(5)/(4)`) is 0.8 (
`(4)/(5)`).

Hope this helped!