Add 42/70 and 75/84
42/70 + 75/84 is 209/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 70 × 6 = 420,
42/70 = 42 × 6/70 × 6 = 252/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
252/420 + 375/420 = 252 + 375/420 = 627/420 - 627/420 simplified gives 209/140
- So, 42/70 + 75/84 = 209/140
In mixed form: 169/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/70+75/84