Add 7/84 and 42/9
1st number: 7/84, 2nd number: 4 6/9
7/84 + 42/9 is 19/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
7/84 = 7 × 3/84 × 3 = 21/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252 - Add the two like fractions:
21/252 + 1176/252 = 21 + 1176/252 = 1197/252 - 1197/252 simplified gives 19/4
- So, 7/84 + 42/9 = 19/4
In mixed form: 43/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/84+42/9 7/84+84/9 7/84+42/18 21/84+42/9 7/84+42/27 35/84+42/9 7/84+42/45 49/84+42/9 7/84+42/63