Add 35/4 and 27/42
1st number: 8 3/4, 2nd number: 27/42
35/4 + 27/42 is 263/28.
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,
27/42 = 27 × 2/42 × 2 = 54/84 - Add the two like fractions:
735/84 + 54/84 = 735 + 54/84 = 789/84 - 789/84 simplified gives 263/28
- So, 35/4 + 27/42 = 263/28
In mixed form: 911/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/4+27/42 35/4+54/42 35/8+27/42 35/4+27/84 35/4+81/42 35/12+27/42 35/20+27/42 35/28+27/42