Add 35/75 and 4/81
35/75 + 4/81 is 209/405.
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,
35/75 = 35 × 27/75 × 27 = 945/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
4/81 = 4 × 25/81 × 25 = 100/2025 - Add the two like fractions:
945/2025 + 100/2025 = 945 + 100/2025 = 1045/2025 - 1045/2025 simplified gives 209/405
- So, 35/75 + 4/81 = 209/405
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