Add 49/56 and 28/40
49/56 + 28/40 is 63/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
28/40 = 28 × 7/40 × 7 = 196/280 - Add the two like fractions:
245/280 + 196/280 = 245 + 196/280 = 441/280 - 441/280 simplified gives 63/40
- So, 49/56 + 28/40 = 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: 98/56+28/40 49/56+56/40 49/56+28/80 49/56+84/40