Question

Find three ways to show that 7/8 is greater than 5/6

Answer 1

You could also use a ruler or some other measuring device for (2). You can also draw a picture of a circle with the denominator as the slices, and the numerator as the shaded areas, then compare both fractions together for (3).

Answer 2

The three ways to show that 7/8 is greater than 5/6 are:

(1) Same denominator method

Multiply top and bottom of each fraction by the denominator of the other.

`(7)/(8)` and
`(5)/(6)`

To make the same denominator we will multiply top and bottom of each fraction by the denominator of the other.

`(7* 6)/(8* 6)` and
`(5* 8)/(6* 8)`

`(42)/(48)` and
`(40)/(48)`

That means, in the same denominator, more numerator value will be greater than the other.

`(42)/(48)` >
`(40)/(48)`

`(7)/(8)` >
`(5)/(6)`

(2) Same numerator method

Multiply top and bottom of each fraction by the numerator of the other.

`(7)/(8)` and
`(5)/(6)`

To make the same numerator we will multiply top and bottom of each fraction by the numerator of the other.

`(7* 5)/(8* 5)` and
`(5* 7)/(6* 7)`

`(35)/(40)` and
`(35)/(42)`

That means, in the same numerator, less denominator value will be greater than the other.

`(35)/(40)` >
`(35)/(42)`

`(7)/(8)` >
`(5)/(6)`

(3) In decimal form

`(7)/(8)=0.875`

and

`(5)/(6)=0.833`

Thus,
`(7)/(8)` >
`(5)/(6)`