Add 10/27 and 35/45
10/27 + 35/45 is 31/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
10/27 = 10 × 5/27 × 5 = 50/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
35/45 = 35 × 3/45 × 3 = 105/135 - Add the two like fractions:
50/135 + 105/135 = 50 + 105/135 = 155/135 - 155/135 simplified gives 31/27
- So, 10/27 + 35/45 = 31/27
In mixed form: 14/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/27+35/45 10/27+70/45 10/54+35/45 10/27+35/90 30/27+35/45 10/81+35/45 50/27+35/45 70/27+35/45