Add 40/84 and 8/35
40/84 + 8/35 is 74/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
8/35 = 8 × 12/35 × 12 = 96/420 - Add the two like fractions:
200/420 + 96/420 = 200 + 96/420 = 296/420 - 296/420 simplified gives 74/105
- So, 40/84 + 8/35 = 74/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84+8/35 40/84+16/35 40/84+8/70 40/84+24/35 40/84+40/35 40/84+56/35