Add 30/35 and 36/42
30/35 + 36/42 is 12/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
30/35 = 30 × 6/35 × 6 = 180/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
36/42 = 36 × 5/42 × 5 = 180/210 - Add the two like fractions:
180/210 + 180/210 = 180 + 180/210 = 360/210 - 360/210 simplified gives 12/7
- So, 30/35 + 36/42 = 12/7
In mixed form: 15/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/35+36/42 30/35+72/42 30/70+36/42 30/35+36/84 90/35+36/42