Add 45/7 and 12/72, Solve 6 3/7 + 12/72 as a fraction

Add 45/7 and 12/72

1^st number: 6 3/7, 2^nd number: 12/72

45/7 + 12/72 is 277/42.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 72 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 7 × 72 = 504,
45/7 = 45 × 72/7 × 72 = 3240/504
Likewise, for the 2nd fraction, since 72 × 7 = 504,
12/72 = 12 × 7/72 × 7 = 84/504
Add the two like fractions:
3240/504 + 84/504 = 3240 + 84/504 = 3324/504
3324/504 simplified gives 277/42
So, 45/7 + 12/72 = 277/42
In mixed form: 625/42

MathStep (Works offline)

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