Add 70/75 and 45/81
70/75 + 45/81 is 67/45.
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,
45/81 = 45 × 25/81 × 25 = 1125/2025 - Add the two like fractions:
1890/2025 + 1125/2025 = 1890 + 1125/2025 = 3015/2025 - 3015/2025 simplified gives 67/45
- So, 70/75 + 45/81 = 67/45
In mixed form: 122/45
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