Question

1008/1323 reduced to lowest common denominator

Answer 1

To simplify 1008/1323 to the lowest common denominator, divide both the numerator and denominator by their greatest common divisor (GCD), which is 63. The simplified fraction is 8/9.

Step-by-step explanation:

To reduce 1008/1323 to the lowest common denominator, we need to find the greatest common divisor (GCD) of 1008 and 1323. We can use the Euclidean algorithm to find the GCD:

1. Divide 1323 by 1008: 1323 ÷ 1008 = 1 with a remainder of 315.
2. Now divide 1008 by 315: 1008 ÷ 315 = 3 with a remainder of 63.
3. Divide 315 by 63: 315 ÷ 63 = 5 with a remainder of 0.
4. Since we have reached a remainder of 0, the GCD is 63.

Therefore, 1008/1323 can be simplified to 8/9 by dividing both the numerator and denominator by the GCD.

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