Add 36/81 and 42/75
36/81 + 42/75 is 226/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 75 is 2025
Next, find the equivalent fraction of both fractional numbers with denominator 2025 - For the 1st fraction, since 81 × 25 = 2025,
36/81 = 36 × 25/81 × 25 = 900/2025 - Likewise, for the 2nd fraction, since 75 × 27 = 2025,
42/75 = 42 × 27/75 × 27 = 1134/2025 - Add the two like fractions:
900/2025 + 1134/2025 = 900 + 1134/2025 = 2034/2025 - 2034/2025 simplified gives 226/225
- So, 36/81 + 42/75 = 226/225
In mixed form: 11/225
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