Add 9/12 and 30/35
9/12 + 30/35 is 45/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
9/12 = 9 × 35/12 × 35 = 315/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Add the two like fractions:
315/420 + 360/420 = 315 + 360/420 = 675/420 - 675/420 simplified gives 45/28
- So, 9/12 + 30/35 = 45/28
In mixed form: 117/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/12+30/35 9/12+60/35 9/24+30/35 9/12+30/70 27/12+30/35 9/12+90/35 9/36+30/35 45/12+30/35 9/60+30/35 63/12+30/35 9/84+30/35