Add 35/75 and 56/63
35/75 + 56/63 is 61/45.
Steps for adding fractions
- 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 - For the 1st fraction, since 75 × 21 = 1575,
35/75 = 35 × 21/75 × 21 = 735/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
56/63 = 56 × 25/63 × 25 = 1400/1575 - Add the two like fractions:
735/1575 + 1400/1575 = 735 + 1400/1575 = 2135/1575 - 2135/1575 simplified gives 61/45
- So, 35/75 + 56/63 = 61/45
In mixed form: 116/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+56/63