Add 40/45 and 27/64
40/45 + 27/64 is 755/576.
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,
40/45 = 40 × 64/45 × 64 = 2560/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
27/64 = 27 × 45/64 × 45 = 1215/2880 - Add the two like fractions:
2560/2880 + 1215/2880 = 2560 + 1215/2880 = 3775/2880 - 3775/2880 simplified gives 755/576
- So, 40/45 + 27/64 = 755/576
In mixed form: 1179/576
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+27/64 40/45+54/64 40/90+27/64 40/45+81/64