Answers

Add 35/75 and 42/84

35/75 + 42/84 is 29/30.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 84 is 2100
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2100
2. For the 1st fraction, since 75 × 28 = 2100,
   35/75 = 35 × 28/75 × 28 = 980/2100
3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
   42/84 = 42 × 25/84 × 25 = 1050/2100
4. Add the two like fractions:
   980/2100 + 1050/2100 = 980 + 1050/2100 = 2030/2100
5. 2030/2100 simplified gives 29/30
6. So, 35/75 + 42/84 = 29/30

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related: ⁷⁰/₇₅+⁴²/₈₄

Add Fractions Calculator