Add 40/84 and 7/30
40/84 + 7/30 is 149/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 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 30 × 14 = 420,
7/30 = 7 × 14/30 × 14 = 98/420 - Add the two like fractions:
200/420 + 98/420 = 200 + 98/420 = 298/420 - 298/420 simplified gives 149/210
- So, 40/84 + 7/30 = 149/210
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84+7/30 40/84+14/30 40/84+7/60 40/84+21/30 40/84+7/90 40/84+35/30 40/84+49/30