Add 10/30 and 21/49
10/30 + 21/49 is 16/21.
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,
10/30 = 10 × 49/30 × 49 = 490/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
21/49 = 21 × 30/49 × 30 = 630/1470 - Add the two like fractions:
490/1470 + 630/1470 = 490 + 630/1470 = 1120/1470 - 1120/1470 simplified gives 16/21
- So, 10/30 + 21/49 = 16/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+21/49 10/30+42/49 10/60+21/49 10/30+21/98 10/30+63/49 10/90+21/49 50/30+21/49 70/30+21/49