Add 49/21 and 75/27
1st number: 2 7/21, 2nd number: 2 21/27
49/21 + 75/27 is 46/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
49/21 = 49 × 9/21 × 9 = 441/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Add the two like fractions:
441/189 + 525/189 = 441 + 525/189 = 966/189 - 966/189 simplified gives 46/9
- So, 49/21 + 75/27 = 46/9
In mixed form: 51/9
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