Add 45/7 and 12/16, Solve 6 3/7 + 12/16 as a fraction

Add 45/7 and 12/16

1^st number: 6 3/7, 2^nd number: 12/16

45/7 + 12/16 is 201/28.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 16 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 7 × 16 = 112,
45/7 = 45 × 16/7 × 16 = 720/112
Likewise, for the 2nd fraction, since 16 × 7 = 112,
12/16 = 12 × 7/16 × 7 = 84/112
Add the two like fractions:
720/112 + 84/112 = 720 + 84/112 = 804/112
804/112 simplified gives 201/28
So, 45/7 + 12/16 = 201/28
In mixed form: 75/28

MathStep (Works offline)

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