Add 35/21 and 63/42, Solve 1 14/21 + 1 21/42 as a fraction

Add 35/21 and 63/42

1^st number: 1 14/21, 2^nd number: 1 21/42

35/21 + 63/42 is 19/6.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
63/42 = 63 × 1/42 × 1 = 63/42
Add the two like fractions:
70/42 + 63/42 = 70 + 63/42 = 133/42
133/42 simplified gives 19/6
So, 35/21 + 63/42 = 19/6
In mixed form: 31/6

MathStep (Works offline)

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