Add 35/21 and 21/27
1st number: 1 14/21, 2nd number: 21/27
35/21 + 21/27 is 22/9.
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,
35/21 = 35 × 9/21 × 9 = 315/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189 - Add the two like fractions:
315/189 + 147/189 = 315 + 147/189 = 462/189 - 462/189 simplified gives 22/9
- So, 35/21 + 21/27 = 22/9
In mixed form: 24/9
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