Add 35/20 and 49/42
1st number: 1 15/20, 2nd number: 1 7/42
35/20 + 49/42 is 35/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
35/20 = 35 × 21/20 × 21 = 735/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
49/42 = 49 × 10/42 × 10 = 490/420 - Add the two like fractions:
735/420 + 490/420 = 735 + 490/420 = 1225/420 - 1225/420 simplified gives 35/12
- So, 35/20 + 49/42 = 35/12
In mixed form: 211/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/20+49/42 35/20+98/42 35/40+49/42 35/20+49/84 35/60+49/42