Add 42/9 and 5/12, Solve 4 6/9 + 5/12 as a fraction

Add 42/9 and 5/12

1^st number: 4 6/9, 2^nd number: 5/12

42/9 + 5/12 is 61/12.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 9 × 4 = 36,
42/9 = 42 × 4/9 × 4 = 168/36
Likewise, for the 2nd fraction, since 12 × 3 = 36,
5/12 = 5 × 3/12 × 3 = 15/36
Add the two like fractions:
168/36 + 15/36 = 168 + 15/36 = 183/36
183/36 simplified gives 61/12
So, 42/9 + 5/12 = 61/12
In mixed form: 51/12

MathStep (Works offline)

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