Question

8 1/2-(5 2/15-x)=3 2/9​

Answer 1

Ответ:

Пошаговое объяснение:

8 15/30-5 4/30+х=3 2/9

1 11/30+х=3 2/9

3 20/90 -1 33/90=

1 77/90

Answer 2

To solve the given equation $8 \frac{1}{2} - \left(5 \frac{2}{15} - x\right) = 3 \frac{2}{9}$, we'll follow these steps:

Step 1: Convert all mixed numbers to improper fractions. Step 2: Perform the operations according to the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Step 3: Simplify the equation and solve for $x$.

Let's start by converting the mixed numbers to improper fractions:

$8 \frac{1}{2}$ as an improper fraction is $\frac{17}{2}$.

$5 \frac{2}{15}$ as an improper fraction is $\frac{77}{15}$.

Now, let's substitute these into the equation and proceed with the steps:

$\frac{17}{2} - \left(\frac{77}{15} - x\right) = \frac{29}{9}$

Now, let's simplify the equation step by step:

Step 1: Deal with the parentheses:

$\frac{17}{2} - \frac{77}{15} + x = \frac{29}{9}$

Step 2: Find a common denominator:

The common denominator for 2, 15, and 9 is 90.

$\frac{17 \times 45}{2 \times 45} - \frac{77 \times 6}{15 \times 6} + \frac{90x}{9 \times 10} = \frac{29 \times 10}{9 \times 10}$

$\frac{765}{90} - \frac{462}{90} + \frac{90x}{90} = \frac{290}{90}$

Step 3: Simplify further:

$\frac{765 - 462 + 90x}{90} = \frac{290}{90}$

$\frac{303 + 90x}{90} = \frac{290}{90}$

Step 4: Cross-multiply:

$303 + 90x = 290$

Step 5: Solve for $x$:

$90x = 290 - 303$ $90x = -13$ $x = \frac{-13}{90}$