Question

Сократите дробь 1125/1250 с объяснением

Answer 1

To simplify the fraction 1125/1250, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number. The GCD of 1125 and 1250 is 125.

To find the GCD, we can use the Euclidean algorithm. We divide the larger number (1250) by the smaller number (1125) and find the remainder. Then we divide the smaller number (1125) by the remainder. We repeat this process until the remainder is zero. The last non-zero remainder is the GCD.

Let's go through the steps:

1. Divide 1250 by 1125: - 1250 ÷ 1125 = 1 with a remainder of 125.

2. Divide 1125 by 125: - 1125 ÷ 125 = 9 with a remainder of 0.

Since the remainder is zero, the GCD of 1125 and 1250 is 125.

Now, we divide both the numerator and the denominator of the fraction 1125/1250 by the GCD:

1125 ÷ 125 = 9 1250 ÷ 125 = 10

Therefore, the simplified form of the fraction 1125/1250 is 9/10.

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