Add 54/75 and 42/81
54/75 + 42/81 is 836/675.
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,
42/81 = 42 × 25/81 × 25 = 1050/2025 - Add the two like fractions:
1458/2025 + 1050/2025 = 1458 + 1050/2025 = 2508/2025 - 2508/2025 simplified gives 836/675
- So, 54/75 + 42/81 = 836/675
In mixed form: 1161/675
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