Add 45/21 and 54/84, Solve 2 3/21 + 54/84 as a fraction

Add 45/21 and 54/84

1^st number: 2 3/21, 2^nd number: 54/84

45/21 + 54/84 is 39/14.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 84 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 21 × 4 = 84,
45/21 = 45 × 4/21 × 4 = 180/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
54/84 = 54 × 1/84 × 1 = 54/84
Add the two like fractions:
180/84 + 54/84 = 180 + 54/84 = 234/84
234/84 simplified gives 39/14
So, 45/21 + 54/84 = 39/14
In mixed form: 211/14

MathStep (Works offline)

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