Add 8/27 and 75/40
1st number: 8/27, 2nd number: 1 35/40
8/27 + 75/40 is 469/216.
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,
8/27 = 8 × 40/27 × 40 = 320/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
75/40 = 75 × 27/40 × 27 = 2025/1080 - Add the two like fractions:
320/1080 + 2025/1080 = 320 + 2025/1080 = 2345/1080 - 2345/1080 simplified gives 469/216
- So, 8/27 + 75/40 = 469/216
In mixed form: 237/216
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/27+75/40 8/54+75/40 8/27+75/80 24/27+75/40 8/81+75/40 40/27+75/40 56/27+75/40