Add 90/84 and 40/9
1st number: 1 6/84, 2nd number: 4 4/9
90/84 + 40/9 is 695/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
90/84 = 90 × 3/84 × 3 = 270/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Add the two like fractions:
270/252 + 1120/252 = 270 + 1120/252 = 1390/252 - 1390/252 simplified gives 695/126
- So, 90/84 + 40/9 = 695/126
In mixed form: 565/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/84+80/9 90/84+40/18 90/84+40/27 90/84+40/45 90/84+40/63