Add 45/14 and 2/56, Solve 3 3/14 + 2/56 as a fraction

Add 45/14 and 2/56

1^st number: 3 3/14, 2^nd number: 2/56

45/14 + 2/56 is 13/4.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 56 is 56

Next, find the equivalent fraction of both fractional numbers with denominator 56
For the 1st fraction, since 14 × 4 = 56,
45/14 = 45 × 4/14 × 4 = 180/56
Likewise, for the 2nd fraction, since 56 × 1 = 56,
2/56 = 2 × 1/56 × 1 = 2/56
Add the two like fractions:
180/56 + 2/56 = 180 + 2/56 = 182/56
182/56 simplified gives 13/4
So, 45/14 + 2/56 = 13/4
In mixed form: 31/4

MathStep (Works offline)

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