Add 40/28 and 40/49
1st number: 1 12/28, 2nd number: 40/49
40/28 + 40/49 is 110/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
40/28 = 40 × 7/28 × 7 = 280/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
40/49 = 40 × 4/49 × 4 = 160/196 - Add the two like fractions:
280/196 + 160/196 = 280 + 160/196 = 440/196 - 440/196 simplified gives 110/49
- So, 40/28 + 40/49 = 110/49
In mixed form: 212/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/28+40/49 40/28+80/49 40/56+40/49 40/28+40/98 40/84+40/49