Add 75/27 and 42/21
1st number: 2 21/27, 2nd number: 2 0/21
75/27 + 42/21 is 43/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
42/21 = 42 × 9/21 × 9 = 378/189 - Add the two like fractions:
525/189 + 378/189 = 525 + 378/189 = 903/189 - 903/189 simplified gives 43/9
- So, 75/27 + 42/21 = 43/9
In mixed form: 47/9
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