Add 9/4 and 49/56
1st number: 2 1/4, 2nd number: 49/56
9/4 + 49/56 is 25/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 56 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 4 × 14 = 56,
9/4 = 9 × 14/4 × 14 = 126/56 - Likewise, for the 2nd fraction, since 56 × 1 = 56,
49/56 = 49 × 1/56 × 1 = 49/56 - Add the two like fractions:
126/56 + 49/56 = 126 + 49/56 = 175/56 - 175/56 simplified gives 25/8
- So, 9/4 + 49/56 = 25/8
In mixed form: 31/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/4+49/56 9/4+98/56 9/8+49/56 27/4+49/56 9/12+49/56 45/4+49/56 9/20+49/56 63/4+49/56 9/28+49/56