Add 27/40 and 75/56
1st number: 27/40, 2nd number: 1 19/56
27/40 + 75/56 is 141/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
27/40 = 27 × 7/40 × 7 = 189/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
75/56 = 75 × 5/56 × 5 = 375/280 - Add the two like fractions:
189/280 + 375/280 = 189 + 375/280 = 564/280 - 564/280 simplified gives 141/70
- So, 27/40 + 75/56 = 141/70
In mixed form: 21/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/40+75/56 27/80+75/56 81/40+75/56