Add 45/21 and 54/12, Solve 2 3/21 + 4 6/12 as a fraction

Add 45/21 and 54/12

1^st number: 2 3/21, 2^nd number: 4 6/12

45/21 + 54/12 is 93/14.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 12 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 12 × 7 = 84,
54/12 = 54 × 7/12 × 7 = 378/84
Add the two like fractions:
180/84 + 378/84 = 180 + 378/84 = 558/84
558/84 simplified gives 93/14
So, 45/21 + 54/12 = 93/14
In mixed form: 69/14

MathStep (Works offline)

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