Add 21/4 and 75/49
1st number: 5 1/4, 2nd number: 1 26/49
21/4 + 75/49 is 1329/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
21/4 = 21 × 49/4 × 49 = 1029/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
75/49 = 75 × 4/49 × 4 = 300/196 - Add the two like fractions:
1029/196 + 300/196 = 1029 + 300/196 = 1329/196 - So, 21/4 + 75/49 = 1329/196
In mixed form: 6153/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/4+75/49 21/8+75/49 21/4+75/98 63/4+75/49 21/12+75/49 21/20+75/49 21/28+75/49