Add 14/4 and 27/42
1st number: 3 2/4, 2nd number: 27/42
14/4 + 27/42 is 29/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
14/4 = 14 × 21/4 × 21 = 294/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
27/42 = 27 × 2/42 × 2 = 54/84 - Add the two like fractions:
294/84 + 54/84 = 294 + 54/84 = 348/84 - 348/84 simplified gives 29/7
- So, 14/4 + 27/42 = 29/7
In mixed form: 41/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/4+27/42 14/4+54/42 14/8+27/42 14/4+27/84 42/4+27/42 14/4+81/42 14/12+27/42 70/4+27/42 14/20+27/42 98/4+27/42 14/28+27/42