Add 27/42 and 49/4
1st number: 27/42, 2nd number: 12 1/4
27/42 + 49/4 is 361/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
27/42 = 27 × 2/42 × 2 = 54/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Add the two like fractions:
54/84 + 1029/84 = 54 + 1029/84 = 1083/84 - 1083/84 simplified gives 361/28
- So, 27/42 + 49/4 = 361/28
In mixed form: 1225/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+49/4 27/42+98/4 27/84+49/4 27/42+49/8 81/42+49/4 27/42+49/12 27/42+49/20 27/42+49/28