Add 10/14 and 72/27
1st number: 10/14, 2nd number: 2 18/27
10/14 + 72/27 is 71/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
10/14 = 10 × 27/14 × 27 = 270/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
72/27 = 72 × 14/27 × 14 = 1008/378 - Add the two like fractions:
270/378 + 1008/378 = 270 + 1008/378 = 1278/378 - 1278/378 simplified gives 71/21
- So, 10/14 + 72/27 = 71/21
In mixed form: 38/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/14+72/27 10/28+72/27 10/14+72/54 30/14+72/27 10/42+72/27 10/14+72/81 50/14+72/27 10/70+72/27 70/14+72/27 10/98+72/27