Add 16/75 and 63/42, Solve 16/75 + 1 21/42 as a fraction

Add 16/75 and 63/42

1^st number: 16/75, 2^nd number: 1 21/42

16/75 + 63/42 is 257/150.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 75 × 14 = 1050,
16/75 = 16 × 14/75 × 14 = 224/1050
Likewise, for the 2nd fraction, since 42 × 25 = 1050,
63/42 = 63 × 25/42 × 25 = 1575/1050
Add the two like fractions:
224/1050 + 1575/1050 = 224 + 1575/1050 = 1799/1050
1799/1050 simplified gives 257/150
So, 16/75 + 63/42 = 257/150
In mixed form: 1107/150

MathStep (Works offline)

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