Add 45/14 and 84/40
1st number: 3 3/14, 2nd number: 2 4/40
45/14 + 84/40 is 186/35.
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,
45/14 = 45 × 20/14 × 20 = 900/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
84/40 = 84 × 7/40 × 7 = 588/280 - Add the two like fractions:
900/280 + 588/280 = 900 + 588/280 = 1488/280 - 1488/280 simplified gives 186/35
- So, 45/14 + 84/40 = 186/35
In mixed form: 511/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/14+84/40 45/28+84/40 45/14+84/80 45/42+84/40 45/70+84/40 45/98+84/40