Add 10/7 and 49/64, Solve 1 3/7 + 49/64 as a fraction

Add 10/7 and 49/64

1^st number: 1 3/7, 2^nd number: 49/64

10/7 + 49/64 is 983/448.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 64 is 448

Next, find the equivalent fraction of both fractional numbers with denominator 448
For the 1st fraction, since 7 × 64 = 448,
10/7 = 10 × 64/7 × 64 = 640/448
Likewise, for the 2nd fraction, since 64 × 7 = 448,
49/64 = 49 × 7/64 × 7 = 343/448
Add the two like fractions:
640/448 + 343/448 = 640 + 343/448 = 983/448
So, 10/7 + 49/64 = 983/448
In mixed form: 287/448

MathStep (Works offline)

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