Add 54/75 and 84/81
1st number: 54/75, 2nd number: 1 3/81
54/75 + 84/81 is 1186/675.
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,
54/75 = 54 × 27/75 × 27 = 1458/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
84/81 = 84 × 25/81 × 25 = 2100/2025 - Add the two like fractions:
1458/2025 + 2100/2025 = 1458 + 2100/2025 = 3558/2025 - 3558/2025 simplified gives 1186/675
- So, 54/75 + 84/81 = 1186/675
In mixed form: 1511/675
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