Add 80/90 and 45/64, Solve 80/90 + 45/64 as a fraction

Add 80/90 and 45/64

80/90 + 45/64 is 917/576.

Find the least common denominator or LCM of the two denominators:
LCM of 90 and 64 is 2880

Next, find the equivalent fraction of both fractional numbers with denominator 2880
For the 1st fraction, since 90 × 32 = 2880,
80/90 = 80 × 32/90 × 32 = 2560/2880
Likewise, for the 2nd fraction, since 64 × 45 = 2880,
45/64 = 45 × 45/64 × 45 = 2025/2880
Add the two like fractions:
2560/2880 + 2025/2880 = 2560 + 2025/2880 = 4585/2880
4585/2880 simplified gives 917/576
So, 80/90 + 45/64 = 917/576
In mixed form: 1341/576

MathStep (Works offline)

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