Add 35/4 and 21/42
1st number: 8 3/4, 2nd number: 21/42
35/4 + 21/42 is 37/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
35/4 = 35 × 21/4 × 21 = 735/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
21/42 = 21 × 2/42 × 2 = 42/84 - Add the two like fractions:
735/84 + 42/84 = 735 + 42/84 = 777/84 - 777/84 simplified gives 37/4
- So, 35/4 + 21/42 = 37/4
In mixed form: 91/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/4+21/42 35/8+21/42 35/4+21/84 35/4+63/42 35/12+21/42 35/20+21/42 35/28+21/42