Answers

Add 30/75 and 75/63

1^st number: 30/75, 2^nd number: 1 12/63

30/75 + 75/63 is 167/105.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 63 is 1575
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1575
2. For the 1st fraction, since 75 × 21 = 1575,
   30/75 = 30 × 21/75 × 21 = 630/1575
3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
   75/63 = 75 × 25/63 × 25 = 1875/1575
4. Add the two like fractions:
   630/1575 + 1875/1575 = 630 + 1875/1575 = 2505/1575
5. 2505/1575 simplified gives 167/105
6. So, 30/75 + 75/63 = 167/105
   In mixed form: 162/105

MathStep (Works offline)

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

Related: ⁶⁰/₇₅+⁷⁵/₆₃ ⁹⁰/₇₅+⁷⁵/₆₃

Add Fractions Calculator