Add 10/75 and 35/81
10/75 + 35/81 is 229/405.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 81 is 2025
Next, find the equivalent fraction of both fractional numbers with denominator 2025 - For the 1st fraction, since 75 × 27 = 2025,
10/75 = 10 × 27/75 × 27 = 270/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
35/81 = 35 × 25/81 × 25 = 875/2025 - Add the two like fractions:
270/2025 + 875/2025 = 270 + 875/2025 = 1145/2025 - 1145/2025 simplified gives 229/405
- So, 10/75 + 35/81 = 229/405
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