Add 21/45 and 56/64
21/45 + 56/64 is 161/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 45 × 64 = 2880,
21/45 = 21 × 64/45 × 64 = 1344/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
56/64 = 56 × 45/64 × 45 = 2520/2880 - Add the two like fractions:
1344/2880 + 2520/2880 = 1344 + 2520/2880 = 3864/2880 - 3864/2880 simplified gives 161/120
- So, 21/45 + 56/64 = 161/120
In mixed form: 141/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/45+56/64 21/90+56/64 63/45+56/64