Add 98/24 and 10/42, Solve 4 2/24 + 10/42 as a fraction

Add 98/24 and 10/42

1^st number: 4 2/24, 2^nd number: 10/42

98/24 + 10/42 is 121/28.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 42 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 24 × 7 = 168,
98/24 = 98 × 7/24 × 7 = 686/168
Likewise, for the 2nd fraction, since 42 × 4 = 168,
10/42 = 10 × 4/42 × 4 = 40/168
Add the two like fractions:
686/168 + 40/168 = 686 + 40/168 = 726/168
726/168 simplified gives 121/28
So, 98/24 + 10/42 = 121/28
In mixed form: 49/28

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad