Add 5/27 and 40/42
5/27 + 40/42 is 215/189.
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,
5/27 = 5 × 14/27 × 14 = 70/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Add the two like fractions:
70/378 + 360/378 = 70 + 360/378 = 430/378 - 430/378 simplified gives 215/189
- So, 5/27 + 40/42 = 215/189
In mixed form: 126/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 10/27+40/42 5/27+80/42 5/54+40/42 5/27+40/84 15/27+40/42 5/81+40/42 25/27+40/42 35/27+40/42