Add 35/21 and 4/15, Solve 1 14/21 + 4/15 as a fraction

Add 35/21 and 4/15

1^st number: 1 14/21, 2^nd number: 4/15

35/21 + 4/15 is 29/15.

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

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 21 × 5 = 105,
35/21 = 35 × 5/21 × 5 = 175/105
Likewise, for the 2nd fraction, since 15 × 7 = 105,
4/15 = 4 × 7/15 × 7 = 28/105
Add the two like fractions:
175/105 + 28/105 = 175 + 28/105 = 203/105
203/105 simplified gives 29/15
So, 35/21 + 4/15 = 29/15
In mixed form: 114/15

MathStep (Works offline)

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