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

Answer :

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.

$\frac{7}{8}$ and $\frac{5}{6}$

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

$\frac{7\times 6}{8\times 6}$ and $\frac{5\times 8}{6\times 8}$

$\frac{42}{48}$ and $\frac{40}{48}$

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

$\frac{42}{48}$ > $\frac{40}{48}$

$\frac{7}{8}$ > $\frac{5}{6}$

(2) Same numerator method

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

$\frac{7}{8}$ and $\frac{5}{6}$

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

$\frac{7\times 5}{8\times 5}$ and $\frac{5\times 7}{6\times 7}$

$\frac{35}{40}$ and $\frac{35}{42}$

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

$\frac{35}{40}$ > $\frac{35}{42}$

$\frac{7}{8}$ > $\frac{5}{6}$

(3) In decimal form

$\frac{7}{8}=0.875$

and

$\frac{5}{6}=0.833$

Thus, $\frac{7}{8}$ > $\frac{5}{6}$