Add 49/21 and 42/27
1st number: 2 7/21, 2nd number: 1 15/27
49/21 + 42/27 is 35/9.
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,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
441/189 + 294/189 = 441 + 294/189 = 735/189 - 735/189 simplified gives 35/9
- So, 49/21 + 42/27 = 35/9
In mixed form: 38/9
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