Add 27/45 and 10/49
27/45 + 10/49 is 197/245.
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,
27/45 = 27 × 49/45 × 49 = 1323/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
10/49 = 10 × 45/49 × 45 = 450/2205 - Add the two like fractions:
1323/2205 + 450/2205 = 1323 + 450/2205 = 1773/2205 - 1773/2205 simplified gives 197/245
- So, 27/45 + 10/49 = 197/245
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