Add 4/14 and 54/49, Solve 4/14 + 1 5/49 as a fraction

Add 4/14 and 54/49

1^st number: 4/14, 2^nd number: 1 5/49

4/14 + 54/49 is 68/49.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98

Next, find the equivalent fraction of both fractional numbers with denominator 98
For the 1st fraction, since 14 × 7 = 98,
4/14 = 4 × 7/14 × 7 = 28/98
Likewise, for the 2nd fraction, since 49 × 2 = 98,
54/49 = 54 × 2/49 × 2 = 108/98
Add the two like fractions:
28/98 + 108/98 = 28 + 108/98 = 136/98
136/98 simplified gives 68/49
So, 4/14 + 54/49 = 68/49
In mixed form: 119/49

MathStep (Works offline)

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