Add 35/49 and 7/45
35/49 + 7/45 is 274/315.
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,
35/49 = 35 × 45/49 × 45 = 1575/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
7/45 = 7 × 49/45 × 49 = 343/2205 - Add the two like fractions:
1575/2205 + 343/2205 = 1575 + 343/2205 = 1918/2205 - 1918/2205 simplified gives 274/315
- So, 35/49 + 7/45 = 274/315
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