Add 18/14 and 54/75, Solve 1 4/14 + 54/75 as a fraction

Add 18/14 and 54/75

1^st number: 1 4/14, 2^nd number: 54/75

18/14 + 54/75 is 351/175.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 14 × 75 = 1050,
18/14 = 18 × 75/14 × 75 = 1350/1050
Likewise, for the 2nd fraction, since 75 × 14 = 1050,
54/75 = 54 × 14/75 × 14 = 756/1050
Add the two like fractions:
1350/1050 + 756/1050 = 1350 + 756/1050 = 2106/1050
2106/1050 simplified gives 351/175
So, 18/14 + 54/75 = 351/175
In mixed form: 21/175

MathStep (Works offline)

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