Add 56/75 and 98/90, Solve 56/75 + 1 8/90 as a fraction

Add 56/75 and 98/90

1^st number: 56/75, 2^nd number: 1 8/90

56/75 + 98/90 is 413/225.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450

Next, find the equivalent fraction of both fractional numbers with denominator 450
For the 1st fraction, since 75 × 6 = 450,
56/75 = 56 × 6/75 × 6 = 336/450
Likewise, for the 2nd fraction, since 90 × 5 = 450,
98/90 = 98 × 5/90 × 5 = 490/450
Add the two like fractions:
336/450 + 490/450 = 336 + 490/450 = 826/450
826/450 simplified gives 413/225
So, 56/75 + 98/90 = 413/225
In mixed form: 1188/225

MathStep (Works offline)

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