Add 27/45 and 42/81
27/45 + 42/81 is 151/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 81 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 45 × 9 = 405,
27/45 = 27 × 9/45 × 9 = 243/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
42/81 = 42 × 5/81 × 5 = 210/405 - Add the two like fractions:
243/405 + 210/405 = 243 + 210/405 = 453/405 - 453/405 simplified gives 151/135
- So, 27/45 + 42/81 = 151/135
In mixed form: 116/135
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