Add 36/30 and 12/9
1st number: 1 6/30, 2nd number: 1 3/9
36/30 + 12/9 is 38/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
36/30 = 36 × 3/30 × 3 = 108/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
12/9 = 12 × 10/9 × 10 = 120/90 - Add the two like fractions:
108/90 + 120/90 = 108 + 120/90 = 228/90 - 228/90 simplified gives 38/15
- So, 36/30 + 12/9 = 38/15
In mixed form: 28/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/30+12/9 36/30+24/9 36/60+12/9 36/30+12/18 36/30+36/9 36/90+12/9 36/30+12/27 36/30+60/9 36/30+12/45 36/30+84/9 36/30+12/63