Add 70/75 and 7/81
70/75 + 7/81 is 413/405.
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,
70/75 = 70 × 27/75 × 27 = 1890/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
7/81 = 7 × 25/81 × 25 = 175/2025 - Add the two like fractions:
1890/2025 + 175/2025 = 1890 + 175/2025 = 2065/2025 - 2065/2025 simplified gives 413/405
- So, 70/75 + 7/81 = 413/405
In mixed form: 18/405
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