Add 54/12 and 84/14, Solve 4 6/12 + 6 0/14 as a fraction

Add 54/12 and 84/14

1^st number: 4 6/12, 2^nd number: 6 0/14

54/12 + 84/14 is 21/2.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 14 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
54/12 = 54 × 7/12 × 7 = 378/84
Likewise, for the 2nd fraction, since 14 × 6 = 84,
84/14 = 84 × 6/14 × 6 = 504/84
Add the two like fractions:
378/84 + 504/84 = 378 + 504/84 = 882/84
882/84 simplified gives 21/2
So, 54/12 + 84/14 = 21/2
In mixed form: 101/2

MathStep (Works offline)

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