Add 40/84 and 45/30
1st number: 40/84, 2nd number: 1 15/30
40/84 + 45/30 is 83/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
45/30 = 45 × 14/30 × 14 = 630/420 - Add the two like fractions:
200/420 + 630/420 = 200 + 630/420 = 830/420 - 830/420 simplified gives 83/42
- So, 40/84 + 45/30 = 83/42
In mixed form: 141/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84+45/30 40/84+90/30 40/84+45/60 40/84+45/90