Question

1 287/357 * (56/145 - 49/318)

Answer 1

Ответ:

Пошаговое объяснение:

0.8367981936

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's proceed step by step:

1. Evaluate the expression inside the parentheses first:

(56/145 - 49/318)

To subtract fractions, we need a common denominator. The least common multiple of 145 and 318 is 145 * 318, so let's rewrite the expression with the common denominator:

= (56/145 * 318/318 - 49/318 * 145/145) = (56 * 318 - 49 * 145) / (145 * 318)

2. Now calculate the numerator:

= (17808 - 7105) / (145 * 318) = 10703 / (145 * 318)

3. Next, calculate the multiplication:

(1,287/357) * (10703 / (145 * 318))

To multiply fractions, multiply the numerators together and the denominators together:

= (1,287 * 10703) / (357 * 145 * 318)

4. Finally, calculate the remaining division:

= 13746761 / (20,547,270) = 0.66925384932 (rounded to 11 decimal places)

So, the result of the expression is approximately 0.66925384932.