Add 2/14 and 75/72, Solve 2/14 + 1 3/72 as a fraction

Add 2/14 and 75/72

1^st number: 2/14, 2^nd number: 1 3/72

2/14 + 75/72 is 199/168.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 72 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 14 × 36 = 504,
2/14 = 2 × 36/14 × 36 = 72/504
Likewise, for the 2nd fraction, since 72 × 7 = 504,
75/72 = 75 × 7/72 × 7 = 525/504
Add the two like fractions:
72/504 + 525/504 = 72 + 525/504 = 597/504
597/504 simplified gives 199/168
So, 2/14 + 75/72 = 199/168
In mixed form: 131/168

MathStep (Works offline)

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