Add 45/36 and 40/49
1st number: 1 9/36, 2nd number: 40/49
45/36 + 40/49 is 405/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
45/36 = 45 × 49/36 × 49 = 2205/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
40/49 = 40 × 36/49 × 36 = 1440/1764 - Add the two like fractions:
2205/1764 + 1440/1764 = 2205 + 1440/1764 = 3645/1764 - 3645/1764 simplified gives 405/196
- So, 45/36 + 40/49 = 405/196
In mixed form: 213/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/36+40/49 45/36+80/49 45/72+40/49 45/36+40/98