Answers

Add 21/42 and 70/75

21/42 + 70/75 is 43/30.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 75 is 1050
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1050
2. For the 1st fraction, since 42 × 25 = 1050,
   21/42 = 21 × 25/42 × 25 = 525/1050
3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
   70/75 = 70 × 14/75 × 14 = 980/1050
4. Add the two like fractions:
   525/1050 + 980/1050 = 525 + 980/1050 = 1505/1050
5. 1505/1050 simplified gives 43/30
6. So, 21/42 + 70/75 = 43/30
   In mixed form: 113/30

MathStep (Works offline)

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

Related: ²¹/₈₄+⁷⁰/₇₅ ⁶³/₄₂+⁷⁰/₇₅

Add Fractions Calculator