Add 50/49 and 40/45
1st number: 1 1/49, 2nd number: 40/45
50/49 + 40/45 is 842/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
50/49 = 50 × 45/49 × 45 = 2250/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Add the two like fractions:
2250/2205 + 1960/2205 = 2250 + 1960/2205 = 4210/2205 - 4210/2205 simplified gives 842/441
- So, 50/49 + 40/45 = 842/441
In mixed form: 1401/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 50/49+80/45 50/98+40/45 50/49+40/90