Question

(8/11-20/55)*66/20=?

Answer 1

(8/11-20/55)*66/20

4/11*66/20

4/11*66/20 = 6/5 = 1.5

Ответ:6/5

Answer 2

To solve the expression (8/11 - 20/55) * 66/20, follow these steps:

Step 1: Simplify the fractions inside the parentheses. 8/11 - 20/55

Step 2: Find a common denominator for the fractions inside the parentheses. The common denominator for 11 and 55 is 55.

Step 3: Convert the fractions to have a common denominator. 8/11 = (8 * 5) / (11 * 5) = 40/55 20/55 = (20 * 1) / (55 * 1) = 20/55

Step 4: Subtract the fractions inside the parentheses. (40/55) - (20/55) = (40 - 20) / 55 = 20/55

Now, the expression becomes: (20/55) * 66/20

Step 5: Cancel out common factors between the numerator and the denominator to simplify the fraction. 20/55 = (20 * 1) / (55 * 1) = 20/55 The common factor is 5.

Canceling out the common factor: (20/55) * 66/20 = (20/11) * (66/4)

Step 6: Now, multiply the fractions: (20/11) * (66/4) = (20 * 66) / (11 * 4) = 1320 / 44

Step 7: Simplify the fraction further by canceling out common factors. The greatest common divisor (GCD) of 1320 and 44 is 44.

1320 / 44 = (1320 / 44) / (44 / 44) = 30 / 1 = 30

The final result is 30.