Add 35/27 and 1/42
1st number: 1 8/27, 2nd number: 1/42
35/27 + 1/42 is 499/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
35/27 = 35 × 14/27 × 14 = 490/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
1/42 = 1 × 9/42 × 9 = 9/378 - Add the two like fractions:
490/378 + 9/378 = 490 + 9/378 = 499/378 - So, 35/27 + 1/42 = 499/378
In mixed form: 1121/378
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/27+1/42 35/27+2/42 35/54+1/42 35/27+1/84 35/27+3/42 35/81+1/42 35/27+5/42 35/27+7/42