Add 40/56 and 30/49
40/56 + 30/49 is 65/49.
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,
40/56 = 40 × 7/56 × 7 = 280/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
30/49 = 30 × 8/49 × 8 = 240/392 - Add the two like fractions:
280/392 + 240/392 = 280 + 240/392 = 520/392 - 520/392 simplified gives 65/49
- So, 40/56 + 30/49 = 65/49
In mixed form: 116/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/56+30/49 40/56+60/49 40/56+30/98 40/56+90/49