Add 7/27 and 36/42
7/27 + 36/42 is 211/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
7/27 = 7 × 14/27 × 14 = 98/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
36/42 = 36 × 9/42 × 9 = 324/378 - Add the two like fractions:
98/378 + 324/378 = 98 + 324/378 = 422/378 - 422/378 simplified gives 211/189
- So, 7/27 + 36/42 = 211/189
In mixed form: 122/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/27+36/42 7/27+72/42 7/54+36/42 7/27+36/84 21/27+36/42 7/81+36/42 35/27+36/42 49/27+36/42