Add 7/42 and 63/27, Solve 7/42 + 2 9/27 as a fraction

Add 7/42 and 63/27

1^st number: 7/42, 2^nd number: 2 9/27

7/42 + 63/27 is 5/2.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
7/42 = 7 × 9/42 × 9 = 63/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
63/27 = 63 × 14/27 × 14 = 882/378
Add the two like fractions:
63/378 + 882/378 = 63 + 882/378 = 945/378
945/378 simplified gives 5/2
So, 7/42 + 63/27 = 5/2
In mixed form: 21/2

MathStep (Works offline)

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