Add 5/18 and 63/42, Solve 5/18 + 1 21/42 as a fraction

Add 5/18 and 63/42

1^st number: 5/18, 2^nd number: 1 21/42

5/18 + 63/42 is 16/9.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
5/18 = 5 × 7/18 × 7 = 35/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
63/42 = 63 × 3/42 × 3 = 189/126
Add the two like fractions:
35/126 + 189/126 = 35 + 189/126 = 224/126
224/126 simplified gives 16/9
So, 5/18 + 63/42 = 16/9
In mixed form: 17/9

MathStep (Works offline)

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