Add 4/49 and 40/45
4/49 + 40/45 is 428/441.
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,
4/49 = 4 × 45/49 × 45 = 180/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Add the two like fractions:
180/2205 + 1960/2205 = 180 + 1960/2205 = 2140/2205 - 2140/2205 simplified gives 428/441
- So, 4/49 + 40/45 = 428/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/49+40/45 4/49+80/45 4/98+40/45 4/49+40/90 12/49+40/45 20/49+40/45 28/49+40/45