Add 3/49 and 36/64
3/49 + 36/64 is 489/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 49 × 64 = 3136,
3/49 = 3 × 64/49 × 64 = 192/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
36/64 = 36 × 49/64 × 49 = 1764/3136 - Add the two like fractions:
192/3136 + 1764/3136 = 192 + 1764/3136 = 1956/3136 - 1956/3136 simplified gives 489/784
- So, 3/49 + 36/64 = 489/784
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