Add 42/75 and 21/8, Solve 42/75 + 2 5/8 as a fraction

Add 42/75 and 21/8

1^st number: 42/75, 2^nd number: 2 5/8

42/75 + 21/8 is 637/200.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600

Next, find the equivalent fraction of both fractional numbers with denominator 600
For the 1st fraction, since 75 × 8 = 600,
42/75 = 42 × 8/75 × 8 = 336/600
Likewise, for the 2nd fraction, since 8 × 75 = 600,
21/8 = 21 × 75/8 × 75 = 1575/600
Add the two like fractions:
336/600 + 1575/600 = 336 + 1575/600 = 1911/600
1911/600 simplified gives 637/200
So, 42/75 + 21/8 = 637/200
In mixed form: 337/200

MathStep (Works offline)

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