Add 21/27 and 75/40
1st number: 21/27, 2nd number: 1 35/40
21/27 + 75/40 is 191/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
21/27 = 21 × 40/27 × 40 = 840/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
75/40 = 75 × 27/40 × 27 = 2025/1080 - Add the two like fractions:
840/1080 + 2025/1080 = 840 + 2025/1080 = 2865/1080 - 2865/1080 simplified gives 191/72
- So, 21/27 + 75/40 = 191/72
In mixed form: 247/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/27+75/40 21/54+75/40 21/27+75/80 63/27+75/40 21/81+75/40