Add 45/54 and 16/42
45/54 + 16/42 is 17/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
45/54 = 45 × 7/54 × 7 = 315/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
16/42 = 16 × 9/42 × 9 = 144/378 - Add the two like fractions:
315/378 + 144/378 = 315 + 144/378 = 459/378 - 459/378 simplified gives 17/14
- So, 45/54 + 16/42 = 17/14
In mixed form: 13/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/54+16/42 45/54+32/42 45/54+16/84 45/54+48/42 45/54+80/42