Add 21/49 and 30/48
21/49 + 30/48 is 59/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 49 × 48 = 2352,
21/49 = 21 × 48/49 × 48 = 1008/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
30/48 = 30 × 49/48 × 49 = 1470/2352 - Add the two like fractions:
1008/2352 + 1470/2352 = 1008 + 1470/2352 = 2478/2352 - 2478/2352 simplified gives 59/56
- So, 21/49 + 30/48 = 59/56
In mixed form: 13/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+30/48 21/49+60/48 21/98+30/48 21/49+30/96 63/49+30/48 21/49+90/48