Add 75/81 and 6/21
75/81 + 6/21 is 229/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 21 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 81 × 7 = 567,
75/81 = 75 × 7/81 × 7 = 525/567 - Likewise, for the 2nd fraction, since 21 × 27 = 567,
6/21 = 6 × 27/21 × 27 = 162/567 - Add the two like fractions:
525/567 + 162/567 = 525 + 162/567 = 687/567 - 687/567 simplified gives 229/189
- So, 75/81 + 6/21 = 229/189
In mixed form: 140/189
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