Add 1/7 and 84/16, Solve 1/7 + 5 4/16 as a fraction

Add 1/7 and 84/16

1^st number: 1/7, 2^nd number: 5 4/16

1/7 + 84/16 is 151/28.

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,
1/7 = 1 × 16/7 × 16 = 16/112
Likewise, for the 2nd fraction, since 16 × 7 = 112,
84/16 = 84 × 7/16 × 7 = 588/112
Add the two like fractions:
16/112 + 588/112 = 16 + 588/112 = 604/112
604/112 simplified gives 151/28
So, 1/7 + 84/16 = 151/28
In mixed form: 511/28

MathStep (Works offline)

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