Add 70/3 and 21/49, Solve 23 1/3 + 21/49 as a fraction

Add 70/3 and 21/49

1^st number: 23 1/3, 2^nd number: 21/49

70/3 + 21/49 is 499/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147

Next, find the equivalent fraction of both fractional numbers with denominator 147
For the 1st fraction, since 3 × 49 = 147,
70/3 = 70 × 49/3 × 49 = 3430/147
Likewise, for the 2nd fraction, since 49 × 3 = 147,
21/49 = 21 × 3/49 × 3 = 63/147
Add the two like fractions:
3430/147 + 63/147 = 3430 + 63/147 = 3493/147
3493/147 simplified gives 499/21
So, 70/3 + 21/49 = 499/21
In mixed form: 2316/21

MathStep (Works offline)

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