Add 40/42 and 24/35
40/42 + 24/35 is 172/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
24/35 = 24 × 6/35 × 6 = 144/210 - Add the two like fractions:
200/210 + 144/210 = 200 + 144/210 = 344/210 - 344/210 simplified gives 172/105
- So, 40/42 + 24/35 = 172/105
In mixed form: 167/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+24/35 40/42+48/35 40/84+24/35 40/42+24/70 40/42+72/35