Add 4/9 and 36/42
4/9 + 36/42 is 82/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
4/9 = 4 × 14/9 × 14 = 56/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126 - Add the two like fractions:
56/126 + 108/126 = 56 + 108/126 = 164/126 - 164/126 simplified gives 82/63
- So, 4/9 + 36/42 = 82/63
In mixed form: 119/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+36/42 4/9+72/42 4/18+36/42 4/9+36/84 12/9+36/42 4/27+36/42 20/9+36/42 4/45+36/42 28/9+36/42 4/63+36/42