Add 40/30 and 27/28
1st number: 1 10/30, 2nd number: 27/28
40/30 + 27/28 is 193/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
40/30 = 40 × 14/30 × 14 = 560/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
27/28 = 27 × 15/28 × 15 = 405/420 - Add the two like fractions:
560/420 + 405/420 = 560 + 405/420 = 965/420 - 965/420 simplified gives 193/84
- So, 40/30 + 27/28 = 193/84
In mixed form: 225/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/30+27/28 40/30+54/28 40/60+27/28 40/30+27/56 40/30+81/28 40/90+27/28 40/30+27/84