Add 24/35 and 40/84
24/35 + 40/84 is 122/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
24/35 = 24 × 12/35 × 12 = 288/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
288/420 + 200/420 = 288 + 200/420 = 488/420 - 488/420 simplified gives 122/105
- So, 24/35 + 40/84 = 122/105
In mixed form: 117/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/35+40/84 24/35+80/84 24/70+40/84 72/35+40/84