Add 40/75 and 60/81
40/75 + 60/81 is 172/135.
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,
40/75 = 40 × 27/75 × 27 = 1080/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
60/81 = 60 × 25/81 × 25 = 1500/2025 - Add the two like fractions:
1080/2025 + 1500/2025 = 1080 + 1500/2025 = 2580/2025 - 2580/2025 simplified gives 172/135
- So, 40/75 + 60/81 = 172/135
In mixed form: 137/135
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