Add 49/35 and 7/21, Solve 1 14/35 + 7/21 as a fraction

Add 49/35 and 7/21

1^st number: 1 14/35, 2^nd number: 7/21

49/35 + 7/21 is 26/15.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 35 × 3 = 105,
49/35 = 49 × 3/35 × 3 = 147/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
7/21 = 7 × 5/21 × 5 = 35/105
Add the two like fractions:
147/105 + 35/105 = 147 + 35/105 = 182/105
182/105 simplified gives 26/15
So, 49/35 + 7/21 = 26/15
In mixed form: 111/15

MathStep (Works offline)

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