Add 42/75 and 90/81
1st number: 42/75, 2nd number: 1 9/81
42/75 + 90/81 is 376/225.
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,
42/75 = 42 × 27/75 × 27 = 1134/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
90/81 = 90 × 25/81 × 25 = 2250/2025 - Add the two like fractions:
1134/2025 + 2250/2025 = 1134 + 2250/2025 = 3384/2025 - 3384/2025 simplified gives 376/225
- So, 42/75 + 90/81 = 376/225
In mixed form: 1151/225
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