Add 7/2 and 27/42
1st number: 3 1/2, 2nd number: 27/42
7/2 + 27/42 is 29/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
7/2 = 7 × 21/2 × 21 = 147/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
27/42 = 27 × 1/42 × 1 = 27/42 - Add the two like fractions:
147/42 + 27/42 = 147 + 27/42 = 174/42 - 174/42 simplified gives 29/7
- So, 7/2 + 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: 14/2+27/42 7/2+54/42 7/4+27/42 7/2+27/84 21/2+27/42 7/2+81/42 7/6+27/42 35/2+27/42 7/10+27/42 49/2+27/42 7/14+27/42