Add 21/30 and 75/49
1st number: 21/30, 2nd number: 1 26/49
21/30 + 75/49 is 1093/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
21/30 = 21 × 49/30 × 49 = 1029/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
75/49 = 75 × 30/49 × 30 = 2250/1470 - Add the two like fractions:
1029/1470 + 2250/1470 = 1029 + 2250/1470 = 3279/1470 - 3279/1470 simplified gives 1093/490
- So, 21/30 + 75/49 = 1093/490
In mixed form: 2113/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+75/49 21/60+75/49 21/30+75/98 63/30+75/49 21/90+75/49