Add 20/54 and 98/42, Solve 20/54 + 2 14/42 as a fraction

Add 20/54 and 98/42

1^st number: 20/54, 2^nd number: 2 14/42

20/54 + 98/42 is 73/27.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 54 × 7 = 378,
20/54 = 20 × 7/54 × 7 = 140/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
98/42 = 98 × 9/42 × 9 = 882/378
Add the two like fractions:
140/378 + 882/378 = 140 + 882/378 = 1022/378
1022/378 simplified gives 73/27
So, 20/54 + 98/42 = 73/27
In mixed form: 219/27

MathStep (Works offline)

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