Add 45/4 and 49/16
1st number: 11 1/4, 2nd number: 3 1/16
45/4 + 49/16 is 229/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 16 is 16
Next, find the equivalent fraction of both fractional numbers with denominator 16 - For the 1st fraction, since 4 × 4 = 16,
45/4 = 45 × 4/4 × 4 = 180/16 - Likewise, for the 2nd fraction, since 16 × 1 = 16,
49/16 = 49 × 1/16 × 1 = 49/16 - Add the two like fractions:
180/16 + 49/16 = 180 + 49/16 = 229/16 - So, 45/4 + 49/16 = 229/16
In mixed form: 145/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/4+49/16 45/4+98/16 45/8+49/16 45/4+49/32 45/12+49/16 45/4+49/48 45/20+49/16 45/4+49/80 45/28+49/16