Add 35/21 and 28/40
1st number: 1 14/21, 2nd number: 28/40
35/21 + 28/40 is 71/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
35/21 = 35 × 40/21 × 40 = 1400/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
28/40 = 28 × 21/40 × 21 = 588/840 - Add the two like fractions:
1400/840 + 588/840 = 1400 + 588/840 = 1988/840 - 1988/840 simplified gives 71/30
- So, 35/21 + 28/40 = 71/30
In mixed form: 211/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/21+28/40 35/21+56/40 35/42+28/40 35/21+28/80 35/21+84/40 35/63+28/40