Add 45/84 and 48/49
45/84 + 48/49 is 297/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
45/84 = 45 × 7/84 × 7 = 315/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
48/49 = 48 × 12/49 × 12 = 576/588 - Add the two like fractions:
315/588 + 576/588 = 315 + 576/588 = 891/588 - 891/588 simplified gives 297/196
- So, 45/84 + 48/49 = 297/196
In mixed form: 1101/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/84+48/49 45/84+96/49 45/84+48/98