Question

(5 3/5 - 1 1/3):(7 7/12-2 1/4)*1,25

Answer 1

Ответ: 1. Решение прикреплено.

Answer 2

To solve this mathematical expression, follow these steps:

Step 1: Convert mixed fractions to improper fractions. Step 2: Perform the operations within parentheses first. Step 3: Perform the division and multiplication from left to right.

Let's start with the calculation:

Step 1: Convert mixed fractions to improper fractions.

5 3/5 = (5 * 5 + 3) / 5 = 28 / 5 1 1/3 = (1 * 3 + 1) / 3 = 4 / 3

7 7/12 = (7 * 12 + 7) / 12 = 91 / 12 2 1/4 = (2 * 4 + 1) / 4 = 9 / 4

Step 2: Perform the operations within parentheses.

(28 / 5 - 4 / 3) : (91 / 12 - 9 / 4) * 1.25

Step 3: Perform the division and multiplication from left to right.

(28 / 5 - 4 / 3) = (56 / 10 - 40 / 10) = 16 / 10 = 8 / 5 (91 / 12 - 9 / 4) = (91 / 12 - 27 / 12) = 64 / 12 = 16 / 3

Now the expression becomes:

(8 / 5) : (16 / 3) * 1.25

To divide fractions, we multiply by the reciprocal of the divisor:

(8 / 5) * (3 / 16) * 1.25

Now, multiply the numerators and denominators:

(8 * 3) / (5 * 16) * 1.25

(24) / (80) * 1.25

Now, divide 24 by 80:

0.3 * 1.25

Finally, multiply 0.3 by 1.25:

0.375

So, the result of the expression is 0.375.