Add 21/48 and 49/63
21/48 + 49/63 is 175/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 48 × 21 = 1008,
21/48 = 21 × 21/48 × 21 = 441/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
49/63 = 49 × 16/63 × 16 = 784/1008 - Add the two like fractions:
441/1008 + 784/1008 = 441 + 784/1008 = 1225/1008 - 1225/1008 simplified gives 175/144
- So, 21/48 + 49/63 = 175/144
In mixed form: 131/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/48+49/63 21/48+98/63 21/96+49/63 63/48+49/63