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Задача Задача №29185
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Аноним
30 октября 2023 13:56 · публичный вопрос
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Аноним

(2 7/65 - 3/26) * 13/14

Нейросеть30 октября 2023 13:56

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.

(2 7/65 - 3/26) * 13/14
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.