Add 45/56 and 9/40
45/56 + 9/40 is 36/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
45/56 = 45 × 5/56 × 5 = 225/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Add the two like fractions:
225/280 + 63/280 = 225 + 63/280 = 288/280 - 288/280 simplified gives 36/35
- So, 45/56 + 9/40 = 36/35
In mixed form: 11/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/56+9/40 45/56+18/40 45/56+9/80 45/56+27/40 45/56+45/40 45/56+63/40