Add 14/56 and 42/49
14/56 + 42/49 is 31/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 56 × 7 = 392,
14/56 = 14 × 7/56 × 7 = 98/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
42/49 = 42 × 8/49 × 8 = 336/392 - Add the two like fractions:
98/392 + 336/392 = 98 + 336/392 = 434/392 - 434/392 simplified gives 31/28
- So, 14/56 + 42/49 = 31/28
In mixed form: 13/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/56+42/49 14/56+84/49 14/56+42/98 42/56+42/49 70/56+42/49 98/56+42/49