Add 40/64 and 49/63, Solve 40/64 + 49/63 as a fraction

Add 40/64 and 49/63

40/64 + 49/63 is 101/72.

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 63 is 4032

Next, find the equivalent fraction of both fractional numbers with denominator 4032
For the 1st fraction, since 64 × 63 = 4032,
40/64 = 40 × 63/64 × 63 = 2520/4032
Likewise, for the 2nd fraction, since 63 × 64 = 4032,
49/63 = 49 × 64/63 × 64 = 3136/4032
Add the two like fractions:
2520/4032 + 3136/4032 = 2520 + 3136/4032 = 5656/4032
5656/4032 simplified gives 101/72
So, 40/64 + 49/63 = 101/72
In mixed form: 129/72

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad