Add 54/96 and 42/28, Solve 54/96 + 1 14/28 as a fraction

Add 54/96 and 42/28

1^st number: 54/96, 2^nd number: 1 14/28

54/96 + 42/28 is 33/16.

Find the least common denominator or LCM of the two denominators:
LCM of 96 and 28 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 96 × 7 = 672,
54/96 = 54 × 7/96 × 7 = 378/672
Likewise, for the 2nd fraction, since 28 × 24 = 672,
42/28 = 42 × 24/28 × 24 = 1008/672
Add the two like fractions:
378/672 + 1008/672 = 378 + 1008/672 = 1386/672
1386/672 simplified gives 33/16
So, 54/96 + 42/28 = 33/16
In mixed form: 21/16

MathStep (Works offline)

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