Add 7/45 and 35/49
7/45 + 35/49 is 274/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
7/45 = 7 × 49/45 × 49 = 343/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
35/49 = 35 × 45/49 × 45 = 1575/2205 - Add the two like fractions:
343/2205 + 1575/2205 = 343 + 1575/2205 = 1918/2205 - 1918/2205 simplified gives 274/315
- So, 7/45 + 35/49 = 274/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/45+35/49 7/45+70/49 7/90+35/49 7/45+35/98 21/45+35/49 35/45+35/49 49/45+35/49