Add 70/84 and 40/75
70/84 + 40/75 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
70/84 = 70 × 25/84 × 25 = 1750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Add the two like fractions:
1750/2100 + 1120/2100 = 1750 + 1120/2100 = 2870/2100 - 2870/2100 simplified gives 41/30
- So, 70/84 + 40/75 = 41/30
In mixed form: 111/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/84+80/75