Add 72/81 and 8/75
72/81 + 8/75 is 224/225.
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,
72/81 = 72 × 25/81 × 25 = 1800/2025 - Likewise, for the 2nd fraction, since 75 × 27 = 2025,
8/75 = 8 × 27/75 × 27 = 216/2025 - Add the two like fractions:
1800/2025 + 216/2025 = 1800 + 216/2025 = 2016/2025 - 2016/2025 simplified gives 224/225
- So, 72/81 + 8/75 = 224/225
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