Add 45/60 and 40/42
45/60 + 40/42 is 143/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
45/60 = 45 × 7/60 × 7 = 315/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
40/42 = 40 × 10/42 × 10 = 400/420 - Add the two like fractions:
315/420 + 400/420 = 315 + 400/420 = 715/420 - 715/420 simplified gives 143/84
- So, 45/60 + 40/42 = 143/84
In mixed form: 159/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/60+40/42 45/60+80/42 45/60+40/84