Question

(5 8/5 : 1 1/4) : 4 1/5

Answer 1

Ответ:

(5 8/5 : 11/4) : 4 1/5 = 33/5 : 11/4 = 33/5 × 4/11 = 12/5 : 21/5 = 12/5 × 5/21 = 2

Answer 2

To solve the expression (5 8/5 : 1 1/4) : 4 1/5, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• 5 8/5 = (5 * 5 + 8)/5 = (25 + 8)/5 = 33/5
• 1 1/4 = (1 * 4 + 1)/4 = (4 + 1)/4 = 5/4
• 4 1/5 = (4 * 5 + 1)/5 = (20 + 1)/5 = 21/5

So, the expression becomes (33/5 : 5/4) : 21/5.

Step 2: Invert the second fraction (5/4) and change the division to multiplication. (33/5 : 5/4) * 4/21

Step 3: Multiply the fractions. (33/5) * (4/21) = (33 * 4) / (5 * 21) = 132/105

Step 4: Simplify the fraction. To simplify, you can divide both the numerator and denominator by their greatest common divisor, which is 33. (132/33) / (105/33) = 4/3

So, the final result of the expression is 4/3.