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

1 Answer

Answer:

#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.