Add 27/42 and 45/72
27/42 + 45/72 is 71/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 42 × 12 = 504,
27/42 = 27 × 12/42 × 12 = 324/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
45/72 = 45 × 7/72 × 7 = 315/504 - Add the two like fractions:
324/504 + 315/504 = 324 + 315/504 = 639/504 - 639/504 simplified gives 71/56
- So, 27/42 + 45/72 = 71/56
In mixed form: 115/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+45/72 27/42+90/72 27/84+45/72 81/42+45/72