Add 6/45 and 27/16, Solve 6/45 + 1 11/16 as a fraction

Add 6/45 and 27/16

1^st number: 6/45, 2^nd number: 1 11/16

6/45 + 27/16 is 437/240.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720

Next, find the equivalent fraction of both fractional numbers with denominator 720
For the 1st fraction, since 45 × 16 = 720,
6/45 = 6 × 16/45 × 16 = 96/720
Likewise, for the 2nd fraction, since 16 × 45 = 720,
27/16 = 27 × 45/16 × 45 = 1215/720
Add the two like fractions:
96/720 + 1215/720 = 96 + 1215/720 = 1311/720
1311/720 simplified gives 437/240
So, 6/45 + 27/16 = 437/240
In mixed form: 1197/240

MathStep (Works offline)

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