Add 75/14 and 9/40
1st number: 5 5/14, 2nd number: 9/40
75/14 + 9/40 is 1563/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
75/14 = 75 × 20/14 × 20 = 1500/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Add the two like fractions:
1500/280 + 63/280 = 1500 + 63/280 = 1563/280 - So, 75/14 + 9/40 = 1563/280
In mixed form: 5163/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/14+18/40 75/28+9/40 75/14+9/80 75/14+27/40 75/42+9/40 75/14+45/40 75/70+9/40 75/14+63/40 75/98+9/40