Add 35/84 and 40/75
35/84 + 40/75 is 19/20.
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,
35/84 = 35 × 25/84 × 25 = 875/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Add the two like fractions:
875/2100 + 1120/2100 = 875 + 1120/2100 = 1995/2100 - 1995/2100 simplified gives 19/20
- So, 35/84 + 40/75 = 19/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/84+40/75 35/84+80/75