Question

-5/11:(-13/33)*78:(-17/15+3 цілих 2/5):(-45/34)

Answer 1

Відповідь: будет

Покрокове пояснення:

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Simplify the expression within the parentheses. -17/15 + 3 цілих 2/5: To add these fractions, we need to find a common denominator. The common denominator for 15 and 5 is 15. Converting 3 цілих 2/5 to an improper fraction: 3 цілих 2/5 = (3 * 5 + 2)/5 = 17/5.

Now we can add the fractions: -17/15 + 17/5: To add fractions with different denominators, we need to find a common denominator. The common denominator for 15 and 5 is 15.

Converting -17/15 to have a denominator of 15: -17/15 = (-17/15) * (1/1) = (-17 * 1)/(15 * 1) = -17/15.

Converting 17/5 to have a denominator of 15: 17/5 = (17/5) * (3/3) = (17 * 3)/(5 * 3) = 51/15.

Now we can add the fractions: -17/15 + 51/15 = ( -17 + 51 )/15 = 34/15.

Step 2: Simplify the expression further. -5/11 * 78/34 * 34/15: Notice that 34 in the numerator and denominator cancel each other out, so we can simplify the expression as follows:

-5/11 * 78/15: To multiply fractions, we multiply the numerators together and the denominators together:

(-5 * 78)/(11 * 15) = -390/165.

Step 3: Simplify the resulting fraction. -390/165: To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

(-390 ÷ 15)/(165 ÷ 15) = (-26)/(11).

Therefore, the final result is -26/11.