Add 4/45 and 40/49
4/45 + 40/49 is 1996/2205.
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,
4/45 = 4 × 49/45 × 49 = 196/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
40/49 = 40 × 45/49 × 45 = 1800/2205 - Add the two like fractions:
196/2205 + 1800/2205 = 196 + 1800/2205 = 1996/2205 - So, 4/45 + 40/49 = 1996/2205
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