Question

-27/20*(-5/9)-5/24*(-22/5)= подробное решение

Answer 1

Ответ:

Пошаговое объяснение:

-27/20*(-5/9)=3/4

5/24*(-22/5)==-11/12

3/4-(-11/12)=3/4+11/12=9/12+11/12=20/12

=1 2/3.

Answer 2

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

Step 1: Simplify the terms inside the parentheses first. -27/20 * (-5/9) = ?

To multiply two fractions, you simply multiply the numerators together and the denominators together:

(-27/20) * (-5/9) = (27 * 5) / (20 * 9) = 135 / 180

Step 2: Simplify the second part of the expression inside the parentheses. -5/24 * (-22/5) = ?

Again, multiply the numerators together and the denominators together:

(-5/24) * (-22/5) = (5 * 22) / (24 * 5) = 110 / 120

Step 3: Now, we have two fractions:

135 / 180 - 110 / 120

Step 4: The fractions have different denominators, so we need to find a common denominator. The least common multiple (LCM) of 180 and 120 is 360. So, we'll rewrite the fractions with a common denominator of 360:

(135 / 180) * (2 / 2) = 270 / 360

(110 / 120) * (3 / 3) = 330 / 360

Step 5: Now, we can combine the fractions:

270 / 360 - 330 / 360 = (270 - 330) / 360 = -60 / 360

Step 6: Finally, we can simplify the fraction:

-60 / 360 = -1 / 6

So, the final result of the expression is -1/6.