Add 75/27 and 1/14
1st number: 2 21/27, 2nd number: 1/14
75/27 + 1/14 is 359/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
1/14 = 1 × 27/14 × 27 = 27/378 - Add the two like fractions:
1050/378 + 27/378 = 1050 + 27/378 = 1077/378 - 1077/378 simplified gives 359/126
- So, 75/27 + 1/14 = 359/126
In mixed form: 2107/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/27+2/14 75/54+1/14 75/27+1/28 75/27+3/14 75/81+1/14 75/27+1/42 75/27+5/14 75/27+1/70 75/27+7/14 75/27+1/98