Add 35/28 and 40/21
1st number: 1 7/28, 2nd number: 1 19/21
35/28 + 40/21 is 265/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
35/28 = 35 × 3/28 × 3 = 105/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
40/21 = 40 × 4/21 × 4 = 160/84 - Add the two like fractions:
105/84 + 160/84 = 105 + 160/84 = 265/84 - So, 35/28 + 40/21 = 265/84
In mixed form: 313/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/28+40/21 35/28+80/21 35/56+40/21 35/28+40/42 35/84+40/21 35/28+40/63