Question

3.1:9.3=х:7/9 пропрция решение3

Answer 1

Может условие неправильно дано, но у меня получилось x = $\frac{7}{27}$

$\frac{3.1}{9.3} =\frac{x}{\frac{7}{9} } \Rightarrow \frac{1}{3}= \frac{9x}{7} \Rightarrow 27x = 7 \Rightarrow x=\frac{7}{27}$

Answer 2

To solve the proportion $3.1:9.3 = \frac{x}{\frac{7}{9}}$, you can follow these steps:

Step 1: Simplify the right side of the proportion by multiplying the numerator and denominator of the fraction by 9:

$\frac{7}{9} \times \frac{9}{9} = \frac{63}{81}$

Step 2: Now the proportion becomes $3.1:9.3 = \frac{x}{\frac{63}{81}}$.

Step 3: Convert the mixed numbers to decimals: $3.1 = 3.1$ and $9.3 = 9.3$.

Step 4: Set up the proportion with decimals:

$\frac{3.1}{9.3} = \frac{x}{\frac{63}{81}}$

Step 5: Cross-multiply and solve for $x$:

$3.1 \times \frac{63}{81} = 9.3 \times x$

Simplify the left side:

$3.1 \times \frac{63}{81} = \frac{3.1 \times 63}{81} = \frac{195.3}{81}$

Now solve for $x$:

$\frac{195.3}{81} = 9.3 \times x$

Divide both sides by 9.3:

$x = \frac{195.3}{81 \times 9.3}$

Calculate the value of $x$:

$x \approx 0.256$

So, the solution for the proportion $3.1:9.3 = \frac{x}{\frac{7}{9}}$ is $x \approx 0.256$.