Answers

Add 40/75 and 84/63

1^st number: 40/75, 2^nd number: 1 21/63

40/75 + 84/63 is 28/15.

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,
   40/75 = 40 × 21/75 × 21 = 840/1575
3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
   84/63 = 84 × 25/63 × 25 = 2100/1575
4. Add the two like fractions:
   840/1575 + 2100/1575 = 840 + 2100/1575 = 2940/1575
5. 2940/1575 simplified gives 28/15
6. So, 40/75 + 84/63 = 28/15
   In mixed form: 113/15

MathStep (Works offline)

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

Related: ⁸⁰/₇₅+⁸⁴/₆₃

Add Fractions Calculator