Add 21/75 and 90/81
1st number: 21/75, 2nd number: 1 9/81
21/75 + 90/81 is 313/225.
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,
21/75 = 21 × 27/75 × 27 = 567/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
90/81 = 90 × 25/81 × 25 = 2250/2025 - Add the two like fractions:
567/2025 + 2250/2025 = 567 + 2250/2025 = 2817/2025 - 2817/2025 simplified gives 313/225
- So, 21/75 + 90/81 = 313/225
In mixed form: 188/225
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