Add 18/81 and 24/75
18/81 + 24/75 is 122/225.
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,
18/81 = 18 × 25/81 × 25 = 450/2025 - Likewise, for the 2nd fraction, since 75 × 27 = 2025,
24/75 = 24 × 27/75 × 27 = 648/2025 - Add the two like fractions:
450/2025 + 648/2025 = 450 + 648/2025 = 1098/2025 - 1098/2025 simplified gives 122/225
- So, 18/81 + 24/75 = 122/225
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