Add 49/14 and 10/9
1st number: 3 7/14, 2nd number: 1 1/9
49/14 + 10/9 is 83/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
49/14 = 49 × 9/14 × 9 = 441/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
10/9 = 10 × 14/9 × 14 = 140/126 - Add the two like fractions:
441/126 + 140/126 = 441 + 140/126 = 581/126 - 581/126 simplified gives 83/18
- So, 49/14 + 10/9 = 83/18
In mixed form: 411/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/14+10/9 49/14+20/9 49/28+10/9 49/14+10/18 49/14+30/9 49/42+10/9 49/14+10/27 49/14+50/9 49/70+10/9 49/14+10/45 49/14+70/9 49/98+10/9 49/14+10/63