Add 21/25 and 21/49
21/25 + 21/49 is 222/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
21/25 = 21 × 49/25 × 49 = 1029/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
21/49 = 21 × 25/49 × 25 = 525/1225 - Add the two like fractions:
1029/1225 + 525/1225 = 1029 + 525/1225 = 1554/1225 - 1554/1225 simplified gives 222/175
- So, 21/25 + 21/49 = 222/175
In mixed form: 147/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/25+21/49 21/25+42/49 21/50+21/49 21/25+21/98 63/25+21/49 21/25+63/49 21/75+21/49