Add 49/21 and 45/64
1st number: 2 7/21, 2nd number: 45/64
49/21 + 45/64 is 583/192.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 21 × 64 = 1344,
49/21 = 49 × 64/21 × 64 = 3136/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
45/64 = 45 × 21/64 × 21 = 945/1344 - Add the two like fractions:
3136/1344 + 945/1344 = 3136 + 945/1344 = 4081/1344 - 4081/1344 simplified gives 583/192
- So, 49/21 + 45/64 = 583/192
In mixed form: 37/192
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