Add 36/8 and 21/72, Solve 4 4/8 + 21/72 as a fraction

Add 36/8 and 21/72

1^st number: 4 4/8, 2^nd number: 21/72

36/8 + 21/72 is 115/24.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 72 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 8 × 9 = 72,
36/8 = 36 × 9/8 × 9 = 324/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
21/72 = 21 × 1/72 × 1 = 21/72
Add the two like fractions:
324/72 + 21/72 = 324 + 21/72 = 345/72
345/72 simplified gives 115/24
So, 36/8 + 21/72 = 115/24
In mixed form: 419/24

MathStep (Works offline)

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