Add 21/36 and 54/14, Solve 21/36 + 3 12/14 as a fraction

Add 21/36 and 54/14

1^st number: 21/36, 2^nd number: 3 12/14

21/36 + 54/14 is 373/84.

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 36 × 7 = 252,
21/36 = 21 × 7/36 × 7 = 147/252
Likewise, for the 2nd fraction, since 14 × 18 = 252,
54/14 = 54 × 18/14 × 18 = 972/252
Add the two like fractions:
147/252 + 972/252 = 147 + 972/252 = 1119/252
1119/252 simplified gives 373/84
So, 21/36 + 54/14 = 373/84
In mixed form: 437/84

MathStep (Works offline)

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