Add 1/14 and 84/9, Solve 1/14 + 9 3/9 as a fraction

Add 1/14 and 84/9

1^st number: 1/14, 2^nd number: 9 3/9

1/14 + 84/9 is 395/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
1/14 = 1 × 9/14 × 9 = 9/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
84/9 = 84 × 14/9 × 14 = 1176/126
Add the two like fractions:
9/126 + 1176/126 = 9 + 1176/126 = 1185/126
1185/126 simplified gives 395/42
So, 1/14 + 84/9 = 395/42
In mixed form: 917/42

MathStep (Works offline)

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