Add 75/21 and 24/27
1st number: 3 12/21, 2nd number: 24/27
75/21 + 24/27 is 281/63.
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,
75/21 = 75 × 9/21 × 9 = 675/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
24/27 = 24 × 7/27 × 7 = 168/189 - Add the two like fractions:
675/189 + 168/189 = 675 + 168/189 = 843/189 - 843/189 simplified gives 281/63
- So, 75/21 + 24/27 = 281/63
In mixed form: 429/63
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