Add 54/75 and 98/63, Solve 54/75 + 1 35/63 as a fraction

Add 54/75 and 98/63

1^st number: 54/75, 2^nd number: 1 35/63

54/75 + 98/63 is 512/225.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575

Next, find the equivalent fraction of both fractional numbers with denominator 1575
For the 1st fraction, since 75 × 21 = 1575,
54/75 = 54 × 21/75 × 21 = 1134/1575
Likewise, for the 2nd fraction, since 63 × 25 = 1575,
98/63 = 98 × 25/63 × 25 = 2450/1575
Add the two like fractions:
1134/1575 + 2450/1575 = 1134 + 2450/1575 = 3584/1575
3584/1575 simplified gives 512/225
So, 54/75 + 98/63 = 512/225
In mixed form: 262/225

MathStep (Works offline)

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