Question

(x- 2 1/10)+4 1/5=5 1/3​

Answer 1

Ответ:

(x-2 1/10)+4 1/5=5 1/3​

(x-21/10)+21/5=16/3

x-21/10+21/5=16/3

x=16/3-21/10

x=97/30=3 7/30

Пошаговое объяснение:

Answer 2

Ответ:

(х-21/10)+20/5=16/3

Х-21/10+21/5=16/3

Х+21/10=16/3

Х=16/3-21/10

Х=97/30

Answer 3

To solve the equation $(x - 2\frac{1}{10}) + 4\frac{1}{5} = 5\frac{1}{3}$, you can follow these steps:

Step 1: Simplify the fractions and mixed numbers on both sides of the equation.

$4\frac{1}{5}$ can be converted to an improper fraction as follows:

$4\frac{1}{5} = \frac{4 \cdot 5 + 1}{5} = \frac{20 + 1}{5} = \frac{21}{5}$

$5\frac{1}{3}$ can be converted to an improper fraction as follows:

$5\frac{1}{3} = \frac{5 \cdot 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3}$

So the equation becomes:

$(x - 2\frac{1}{10}) + \frac{21}{5} = \frac{16}{3}$

Step 2: Get a common denominator for the fractions on the left side of the equation. The common denominator for 5 and 3 is 15.

Rewrite the equation with a common denominator:

$\frac{15}{15}(x - 2\frac{1}{10}) + \frac{21}{5} = \frac{16}{3}$

Step 3: Distribute the common denominator on the left side of the equation:

$15(x - 2\frac{1}{10}) + \frac{21}{5} = \frac{16}{3}$

Step 4: Now, you can solve for x. First, distribute the 15 on the left side:

$15x - 15(2\frac{1}{10}) + \frac{21}{5} = \frac{16}{3}$

Step 5: Calculate $15(2\frac{1}{10})$ by converting the mixed number to an improper fraction:

$15 \cdot \frac{21}{10} = \frac{315}{10} = \frac{63}{2}$

So the equation becomes:

$15x - \frac{63}{2} + \frac{21}{5} = \frac{16}{3}$

Step 6: To get rid of the fractions, multiply the entire equation by the least common multiple (LCM) of the denominators, which is 30:

$30 \cdot \left(15x - \frac{63}{2} + \frac{21}{5}\right) = 30 \cdot \frac{16}{3}$

Step 7: Distribute 30 on both sides of the equation:

$30 \cdot 15x - 30 \cdot \frac{63}{2} + 30 \cdot \frac{21}{5} = \frac{30 \cdot 16}{3}$

Step 8: Simplify each term:

$450x - 945 + 126 = 160$

Step 9: Combine like terms:

$450x - 945 + 126 = 160$

$450x - 819 = 160$

Step 10: Add 819 to both sides of the equation to isolate the variable:

$450x = 160 + 819$

$450x = 979$

Step 11: Finally, divide by 450 to solve for x:

$x = \frac{979}{450}$