Add 27/42 and 45/28, Solve 27/42 + 1 17/28 as a fraction

Add 27/42 and 45/28

1^st number: 27/42, 2^nd number: 1 17/28

27/42 + 45/28 is 9/4.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 28 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 42 × 2 = 84,
27/42 = 27 × 2/42 × 2 = 54/84
Likewise, for the 2nd fraction, since 28 × 3 = 84,
45/28 = 45 × 3/28 × 3 = 135/84
Add the two like fractions:
54/84 + 135/84 = 54 + 135/84 = 189/84
189/84 simplified gives 9/4
So, 27/42 + 45/28 = 9/4
In mixed form: 21/4

MathStep (Works offline)

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