Add 27/72 and 9/5, Solve 27/72 + 1 4/5 as a fraction

Add 27/72 and 9/5

1^st number: 27/72, 2^nd number: 1 4/5

27/72 + 9/5 is 87/40.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 5 is 360

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 72 × 5 = 360,
27/72 = 27 × 5/72 × 5 = 135/360
Likewise, for the 2nd fraction, since 5 × 72 = 360,
9/5 = 9 × 72/5 × 72 = 648/360
Add the two like fractions:
135/360 + 648/360 = 135 + 648/360 = 783/360
783/360 simplified gives 87/40
So, 27/72 + 9/5 = 87/40
In mixed form: 27/40

MathStep (Works offline)

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