Add 81/7 and 6/45, Solve 11 4/7 + 6/45 as a fraction

Add 81/7 and 6/45

1^st number: 11 4/7, 2^nd number: 6/45

81/7 + 6/45 is 1229/105.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 7 × 45 = 315,
81/7 = 81 × 45/7 × 45 = 3645/315
Likewise, for the 2nd fraction, since 45 × 7 = 315,
6/45 = 6 × 7/45 × 7 = 42/315
Add the two like fractions:
3645/315 + 42/315 = 3645 + 42/315 = 3687/315
3687/315 simplified gives 1229/105
So, 81/7 + 6/45 = 1229/105
In mixed form: 1174/105

MathStep (Works offline)

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