Add 54/84 and 4/9
54/84 + 4/9 is 137/126.
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,
54/84 = 54 × 3/84 × 3 = 162/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
4/9 = 4 × 28/9 × 28 = 112/252 - Add the two like fractions:
162/252 + 112/252 = 162 + 112/252 = 274/252 - 274/252 simplified gives 137/126
- So, 54/84 + 4/9 = 137/126
In mixed form: 111/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/84+8/9 54/84+4/18 54/84+12/9 54/84+4/27 54/84+20/9 54/84+4/45 54/84+28/9 54/84+4/63