Add 75/21 and 42/27
1st number: 3 12/21, 2nd number: 1 15/27
75/21 + 42/27 is 323/63.
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,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
675/189 + 294/189 = 675 + 294/189 = 969/189 - 969/189 simplified gives 323/63
- So, 75/21 + 42/27 = 323/63
In mixed form: 58/63
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