Add 21/30 and 49/56
21/30 + 49/56 is 63/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
21/30 = 21 × 28/30 × 28 = 588/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
588/840 + 735/840 = 588 + 735/840 = 1323/840 - 1323/840 simplified gives 63/40
- So, 21/30 + 49/56 = 63/40
In mixed form: 123/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+49/56 21/30+98/56 21/60+49/56 63/30+49/56 21/90+49/56