Add 7/15 and 35/21, Solve 7/15 + 1 14/21 as a fraction

Add 7/15 and 35/21

1^st number: 7/15, 2^nd number: 1 14/21

7/15 + 35/21 is 32/15.

Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 15 × 7 = 105,
7/15 = 7 × 7/15 × 7 = 49/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
35/21 = 35 × 5/21 × 5 = 175/105
Add the two like fractions:
49/105 + 175/105 = 49 + 175/105 = 224/105
224/105 simplified gives 32/15
So, 7/15 + 35/21 = 32/15
In mixed form: 22/15

MathStep (Works offline)

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