Add 3/45 and 40/49
3/45 + 40/49 is 649/735.
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,
3/45 = 3 × 49/45 × 49 = 147/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
40/49 = 40 × 45/49 × 45 = 1800/2205 - Add the two like fractions:
147/2205 + 1800/2205 = 147 + 1800/2205 = 1947/2205 - 1947/2205 simplified gives 649/735
- So, 3/45 + 40/49 = 649/735
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