Add 10/27 and 15/70, Solve 10/27 + 15/70 as a fraction

Add 10/27 and 15/70

10/27 + 15/70 is 221/378.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890

Next, find the equivalent fraction of both fractional numbers with denominator 1890
For the 1st fraction, since 27 × 70 = 1890,
10/27 = 10 × 70/27 × 70 = 700/1890
Likewise, for the 2nd fraction, since 70 × 27 = 1890,
15/70 = 15 × 27/70 × 27 = 405/1890
Add the two like fractions:
700/1890 + 405/1890 = 700 + 405/1890 = 1105/1890
1105/1890 simplified gives 221/378
So, 10/27 + 15/70 = 221/378

MathStep (Works offline)

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