Answers

Add 72/75 and 45/42

1^st number: 72/75, 2^nd number: 1 3/42

72/75 + 45/42 is 711/350.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 42 is 1050
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1050
2. For the 1st fraction, since 75 × 14 = 1050,
   72/75 = 72 × 14/75 × 14 = 1008/1050
3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
   45/42 = 45 × 25/42 × 25 = 1125/1050
4. Add the two like fractions:
   1008/1050 + 1125/1050 = 1008 + 1125/1050 = 2133/1050
5. 2133/1050 simplified gives 711/350
6. So, 72/75 + 45/42 = 711/350
   In mixed form: 211/350

MathStep (Works offline)

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

Related: ⁷²/₇₅+⁹⁰/₄₂ ⁷²/₇₅+⁴⁵/₈₄

Add Fractions Calculator