Add 21/30 and 16/49
21/30 + 16/49 is 503/490.
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,
16/49 = 16 × 30/49 × 30 = 480/1470 - Add the two like fractions:
1029/1470 + 480/1470 = 1029 + 480/1470 = 1509/1470 - 1509/1470 simplified gives 503/490
- So, 21/30 + 16/49 = 503/490
In mixed form: 113/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+16/49 21/30+32/49 21/60+16/49 21/30+16/98 63/30+16/49 21/30+48/49 21/90+16/49 21/30+80/49