Add 10/3 and 54/40, Solve 3 1/3 + 1 14/40 as a fraction

Add 10/3 and 54/40

1^st number: 3 1/3, 2^nd number: 1 14/40

10/3 + 54/40 is 281/60.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 3 × 40 = 120,
10/3 = 10 × 40/3 × 40 = 400/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
54/40 = 54 × 3/40 × 3 = 162/120
Add the two like fractions:
400/120 + 162/120 = 400 + 162/120 = 562/120
562/120 simplified gives 281/60
So, 10/3 + 54/40 = 281/60
In mixed form: 441/60

MathStep (Works offline)

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