Add 30/81 and 42/45
30/81 + 42/45 is 176/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 45 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
30/81 = 30 × 5/81 × 5 = 150/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
42/45 = 42 × 9/45 × 9 = 378/405 - Add the two like fractions:
150/405 + 378/405 = 150 + 378/405 = 528/405 - 528/405 simplified gives 176/135
- So, 30/81 + 42/45 = 176/135
In mixed form: 141/135
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