Add 40/10 and 21/12, Solve 4 0/10 + 1 9/12 as a fraction

Add 40/10 and 21/12

1^st number: 4 0/10, 2^nd number: 1 9/12

40/10 + 21/12 is 23/4.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 12 is 60

Next, find the equivalent fraction of both fractional numbers with denominator 60
For the 1st fraction, since 10 × 6 = 60,
40/10 = 40 × 6/10 × 6 = 240/60
Likewise, for the 2nd fraction, since 12 × 5 = 60,
21/12 = 21 × 5/12 × 5 = 105/60
Add the two like fractions:
240/60 + 105/60 = 240 + 105/60 = 345/60
345/60 simplified gives 23/4
So, 40/10 + 21/12 = 23/4
In mixed form: 53/4

MathStep (Works offline)

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