Add 27/42 and 28/40
27/42 + 28/40 is 47/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
27/42 = 27 × 20/42 × 20 = 540/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
28/40 = 28 × 21/40 × 21 = 588/840 - Add the two like fractions:
540/840 + 588/840 = 540 + 588/840 = 1128/840 - 1128/840 simplified gives 47/35
- So, 27/42 + 28/40 = 47/35
In mixed form: 112/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+28/40 27/42+56/40 27/84+28/40 27/42+28/80 81/42+28/40 27/42+84/40