Add 75/42 and 28/18, Solve 1 33/42 + 1 10/18 as a fraction

Add 75/42 and 28/18

1^st number: 1 33/42, 2^nd number: 1 10/18

75/42 + 28/18 is 421/126.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
75/42 = 75 × 3/42 × 3 = 225/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
28/18 = 28 × 7/18 × 7 = 196/126
Add the two like fractions:
225/126 + 196/126 = 225 + 196/126 = 421/126
So, 75/42 + 28/18 = 421/126
In mixed form: 343/126

MathStep (Works offline)

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