Add 98/49 and 45/16
1st number: 2 0/49, 2nd number: 2 13/16
98/49 + 45/16 is 77/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
98/49 = 98 × 16/49 × 16 = 1568/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
45/16 = 45 × 49/16 × 49 = 2205/784 - Add the two like fractions:
1568/784 + 2205/784 = 1568 + 2205/784 = 3773/784 - 3773/784 simplified gives 77/16
- So, 98/49 + 45/16 = 77/16
In mixed form: 413/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/49+90/16 98/49+45/32 98/49+45/48 98/49+45/80