Add 8/15 and 36/42
8/15 + 36/42 is 146/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
8/15 = 8 × 14/15 × 14 = 112/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
36/42 = 36 × 5/42 × 5 = 180/210 - Add the two like fractions:
112/210 + 180/210 = 112 + 180/210 = 292/210 - 292/210 simplified gives 146/105
- So, 8/15 + 36/42 = 146/105
In mixed form: 141/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/15+36/42 8/15+72/42 8/30+36/42 8/15+36/84 24/15+36/42 8/45+36/42 40/15+36/42 8/75+36/42 56/15+36/42