Question

3 1/3÷(3/7х-13/15)=1 9/15

Answer 1

3 1/3÷(3/7х-13/15)=1 9/15  10/3÷(3/7х-13/15)=24/15  3/7х-13/15=24/15 * 3/10  3/7х-13/15=12/25    3/7х=12/25+13/15  3/7х=36/75+65/75  3/7х=101/75

х=101/75 * 7/3=707/525=1 182/525

Answer 2

Let's solve the equation step by step. The equation you provided is:

$\frac{3 \frac{1}{3}}{\frac{3}{7}x - \frac{13}{15}} = 1 \frac{9}{15}$

First, let's convert all the mixed numbers into improper fractions:

$\frac{10}{3} \div \left(\frac{3}{7}x - \frac{13}{15}\right) = \frac{24}{15}$

Now, we can simplify the equation by multiplying both sides by the common denominator of 15 to get rid of the fractions:

$15 \cdot \frac{10}{3} \div \left(15 \cdot \left(\frac{3}{7}x - \frac{13}{15}\right)\right) = 15 \cdot \frac{24}{15}$

Simplifying further:

$5 \cdot 10 \div \left(3 \cdot (3x - \frac{13}{15})\right) = 24$

$\frac{50}{3x - \frac{13}{15}} = 24$

Next, let's isolate the variable on one side of the equation. To do that, multiply both sides by the denominator of the fraction on the left side, which is $3x - \frac{13}{15}$:

$50 = 24 \cdot (3x - \frac{13}{15})$

Now, distribute 24 on the right side:

$50 = 72x - \frac{312}{15}$

Let's get rid of the fraction by multiplying both sides by 15:

$50 \cdot 15 = 72x \cdot 15 - 312$

$750 = 1080x - 312$

Next, isolate the variable term by moving the constant term to the other side:

$1080x = 750 + 312$

$1080x = 1062$

Finally, solve for x by dividing both sides by 1080:

$x = \frac{1062}{1080}$

Now, let's simplify the fraction:

$x = \frac{177}{180}$

The value of $x$ is $\frac{177}{180}$.