Question

(-13/25)*(-5 10/13)* 2/3​

Answer 1

Ответ:

2

Пошаговое объяснение:

= -13/25(-75/13)*(2/3);

-13(-75)/25*13 * (2/3);

975/325*(2/3);

3*2/3;

2

Answer 2

To simplify the expression (-13/25) * (-5 10/13) * (2/3), you can follow these steps:

Step 1: Convert the mixed number -5 10/13 to an improper fraction.

-5 10/13 = -5 + 10/13

Step 2: Find a common denominator for the fractions involved.

The denominators in the expression are 25 and 13. The least common multiple (LCM) of 25 and 13 is 325.

Step 3: Rewrite the fractions with the common denominator of 325.

(-13/25) = (-13/25) * (13/13) = -169/325 (10/13) = (10/13) * (25/25) = 250/325 (2/3) = (2/3) * (108/108) = 216/325

Step 4: Now, you can multiply the fractions together:

(-169/325) * (250/325) * (216/325)

Step 5: Multiply the numerators together and the denominators together:

Numerator: (-169 * 250 * 216) Denominator: (325 * 325 * 325)

Step 6: Simplify the result if possible.

Numerator: -169 * 250 * 216 = -7,632,000 Denominator: 325 * 325 * 325 = 10,691,625

So, the simplified expression is:

(-13/25) * (-5 10/13) * (2/3) = -7,632,000 / 10,691,625

You can further simplify the fraction if needed, but this is the final simplified form of the expression.