# How much bigger is a 1/4 inch button than a 5/8 inch button?

Mar 14, 2018

color(purple)((5/8)”) button is color(green)((3/8)” greater than  color(brown)((1/4)” button.

#### Explanation:

To compare the two fractions, we must have common base so that the numerators can be directly matched.

Given : 1/4”, 5/8

Now we have to find the L C M for the denominator of the two fractions to make the denominator common.

Factors of 4 = 2 * color(red)(2

Factors of 8 = 2 * 2 * color(red)(2

Taking the color(red)(2 once, L C M $= 2 \cdot 2 \cdot 2 = 8$

$\frac{1}{4} , \frac{5}{8} = \frac{1 \cdot 2}{4 \cdot 2} , \frac{5}{8} = \frac{2}{8} , \frac{5}{8}$

Difference between the two terms is (5-2) / 8 = 3/8”

color(purple)((5/8)”) button is color(green)((3/8)” greater than  color(brown)((1/4)” button.