Add 7/9 and 40/42
7/9 + 40/42 is 109/63.
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,
7/9 = 7 × 14/9 × 14 = 98/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
98/126 + 120/126 = 98 + 120/126 = 218/126 - 218/126 simplified gives 109/63
- So, 7/9 + 40/42 = 109/63
In mixed form: 146/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/9+40/42 7/9+80/42 7/18+40/42 7/9+40/84 21/9+40/42 7/27+40/42 35/9+40/42 7/45+40/42 49/9+40/42 7/63+40/42