Add 35/49 and 21/63
35/49 + 21/63 is 22/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 63 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
35/49 = 35 × 9/49 × 9 = 315/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
21/63 = 21 × 7/63 × 7 = 147/441 - Add the two like fractions:
315/441 + 147/441 = 315 + 147/441 = 462/441 - 462/441 simplified gives 22/21
- So, 35/49 + 21/63 = 22/21
In mixed form: 11/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/49+21/63 35/49+42/63 35/98+21/63