Add 10/42 and 40/54
10/42 + 40/54 is 185/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
10/42 = 10 × 9/42 × 9 = 90/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Add the two like fractions:
90/378 + 280/378 = 90 + 280/378 = 370/378 - 370/378 simplified gives 185/189
- So, 10/42 + 40/54 = 185/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/42+40/54 10/42+80/54 10/84+40/54 30/42+40/54 50/42+40/54 70/42+40/54