Maggie studied for 2/5 of an hour. Julie studied for 1/4 of an
hour. How much longer did
Maggie study?

3/20

Concept:

When encountering questions that ask for [how much longer A comparing to B], the basic operation would be the value of A subtracted by the value of B.

Solve:

Given information

Maggie study time = 2/5 hours

Julie study time = 1/4 hours

Given expression deducted from the concept

Maggie (study time) - Julie (study time)

Substitute values into the expression

2/5 - 1/4

Find the denominators' Least Common Multiple (LCM)

First five multiples of 5: 5, 10, 15, 20, 25

First five multiples of 4: 4, 8, 12, 16, 20

Since [20] is the first term that appears in both multiples, it would be the LCM of 4 and 5

Convert the fractions to common denominator

2/5 = (2 × 4) / (5 × 4) = 8 / 20

1/4 = (1 × 5) / (4 × 5) = 5 / 20

Simplify by subtraction

=8/20 - 5/20

=(8 - 5) / 20

=

Hope this helps!! :)

Please let me know if you have any questions