To solve this expression, let's simplify each fraction separately: First, let's simplify 2 7/65 to an improper fraction: 2 7/65 = (2 * 65 + 7)/65 = 137/65 Now, let's simplify 3/26: Next, let's multiply the fractions: (137/65 - 3/26) * 13/14 To subtract fractions, we need to have a common denominator. In this case, we can use 65 as the common denominator: (137/65 - 3/26) = (137 * 2/65 * 2 - 3)/65 = (274/130 - 3/26) Now, let's find the common denominator between 130 and 26, which is 130: (274/130 - 3/26) = (274 * 1/130 * 1 - 3 * 5)/130 = (274 - 15)/130 = 259/130 Finally, let's multiply by 13/14: (259/130) * (13/14) = (259 * 13)/(130 * 14) = 3367/1820 The final answer is 3367/1820, which can be further simplified.

Question 1

Задача Задача №29186

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Аноним

30 октября 2023 13:57 · публичный вопрос

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Аноним 30 октября 2023 13:57

To solve this expression, let's simplify each fraction separately: First, let's simplify 2 7/65 to an improper fraction: 2 7/65 = (2 * 65 + 7)/65 = 137/65 Now, let's simplify 3/26: Next, let's multiply the fractions: (137/65 - 3/26) * 13/14 To subtract fractions, we need to have a common denominator. In this case, we can use 65 as the common denominator: (137/65 - 3/26) = (137 * 2/65 * 2 - 3)/65 = (274/130 - 3/26) Now, let's find the common denominator between 130 and 26, which is 130: (274/130 - 3/26) = (274 * 1/130 * 1 - 3 * 5)/130 = (274 - 15)/130 = 259/130 Finally, let's multiply by 13/14: (259/130) * (13/14) = (259 * 13)/(130 * 14) = 3367/1820 The final answer is 3367/1820, which can be further simplified.

Answer

To simplify 3367/1820, we can find the greatest common divisor (GCD) of both the numerator and denominator and divide them by it.

The GCD of 3367 and 1820 is 91.

Dividing both the numerator and denominator by 91, we get:

3367/91 ÷ 1820/91 = 37/20

So the final simplified answer is 37/20.

Question 2

To solve this expression, let's simplify each fraction separately: First, let's simplify 2 7/65 to an improper fraction: 2 7/65 = (2 * 65 + 7)/65 = 137/65 Now, let's simplify 3/26: Next, let's multiply the fractions: (137/65 - 3/26) * 13/14 To subtract fractions, we need to have a common denominator. In this case, we can use 65 as the common denominator: (137/65 - 3/26) = (137 * 2/65 * 2 - 3)/65 = (274/130 - 3/26) Now, let's find the common denominator between 130 and 26, which is 130: (274/130 - 3/26) = (274 * 1/130 * 1 - 3 * 5)/130 = (274 - 15)/130 = 259/130 Finally, let's multiply by 13/14: (259/130) * (13/14) = (259 * 13)/(130 * 14) = 3367/1820 The final answer is 3367/1820, which can be further simplified.

Answer

To simplify 3367/1820, we can find the greatest common divisor (GCD) of both the numerator and denominator and divide them by it. The GCD of 3367 and 1820 is 91. Dividing both the numerator and denominator by 91, we get: 3367/91 ÷ 1820/91 = 37/20 So the final simplified answer is 37/20.