Question

2 2/5 (12 3/4 -x)+4,5

Answer 1

35,1-2,4х.

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Answer 2

To simplify the expression $2 \frac{2}{5} (12 \frac{3}{4} - x) + 4.5$, follow these steps:

Step 1: Calculate the value inside the parentheses $12 \frac{3}{4} - x$:

$12 \frac{3}{4} - x = 12.75 - x$

Step 2: Multiply $2 \frac{2}{5}$ by the result from Step 1:

$2 \frac{2}{5} \cdot (12.75 - x)$

To multiply a mixed number by a number, convert the mixed number to an improper fraction and then multiply:

$2 \frac{2}{5} = \frac{12}{5}$

So, the expression becomes:

$\frac{12}{5} \cdot (12.75 - x)$

Step 3: Distribute the fraction $\frac{12}{5}$ into the expression:

$\frac{12}{5} \cdot 12.75 - \frac{12}{5} \cdot x$

Step 4: Calculate the products:

$\frac{12}{5} \cdot 12.75 = 30.6$ (rounded to one decimal place)

$\frac{12}{5} \cdot x = \frac{12x}{5}$

Step 5: Put the results back into the original expression:

$30.6 - \frac{12x}{5} + 4.5$

Step 6: Combine like terms:

$30.6 + 4.5 - \frac{12x}{5}$

Step 7: Add $30.6$ and $4.5$:

$35.1 - \frac{12x}{5}$

So, the simplified expression is $35.1 - \frac{12x}{5}$.