Question

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

Answer 1

`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 * 2 * 2 = 8`

`1/4, 5/8 = (1*2)/(4*2), 5/8 = 2/8,5/8`

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.