Add 27/14 and 5/75, Solve 1 13/14 + 5/75 as a fraction

Add 27/14 and 5/75

1^st number: 1 13/14, 2^nd number: 5/75

27/14 + 5/75 is 419/210.

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,
27/14 = 27 × 75/14 × 75 = 2025/1050
Likewise, for the 2nd fraction, since 75 × 14 = 1050,
5/75 = 5 × 14/75 × 14 = 70/1050
Add the two like fractions:
2025/1050 + 70/1050 = 2025 + 70/1050 = 2095/1050
2095/1050 simplified gives 419/210
So, 27/14 + 5/75 = 419/210
In mixed form: 1209/210

MathStep (Works offline)

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