Add 56/40 and 28/42
1st number: 1 16/40, 2nd number: 28/42
56/40 + 28/42 is 31/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
56/40 = 56 × 21/40 × 21 = 1176/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
28/42 = 28 × 20/42 × 20 = 560/840 - Add the two like fractions:
1176/840 + 560/840 = 1176 + 560/840 = 1736/840 - 1736/840 simplified gives 31/15
- So, 56/40 + 28/42 = 31/15
In mixed form: 21/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/40+56/42 56/80+28/42 56/40+28/84 56/40+84/42