Add 36/45 and 21/56
36/45 + 21/56 is 47/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 45 × 56 = 2520,
36/45 = 36 × 56/45 × 56 = 2016/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
21/56 = 21 × 45/56 × 45 = 945/2520 - Add the two like fractions:
2016/2520 + 945/2520 = 2016 + 945/2520 = 2961/2520 - 2961/2520 simplified gives 47/40
- So, 36/45 + 21/56 = 47/40
In mixed form: 17/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/45+21/56 36/45+42/56 36/90+21/56 36/45+63/56