Add 45/60 and 27/64
45/60 + 27/64 is 75/64.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 60 × 16 = 960,
45/60 = 45 × 16/60 × 16 = 720/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
27/64 = 27 × 15/64 × 15 = 405/960 - Add the two like fractions:
720/960 + 405/960 = 720 + 405/960 = 1125/960 - 1125/960 simplified gives 75/64
- So, 45/60 + 27/64 = 75/64
In mixed form: 111/64
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/60+27/64 45/60+54/64 45/60+81/64