Question

3/x=11/5-2/15 помогите пожалуйста

Answer 1

3/х=11/5-2/15
3/х=33/15-2/15
3/х=31/15
31х=45
х=45/31
х=1,45

Answer 2

Solving the Equation 3/x = 11/5 - 2/15

To solve the equation 3/x = 11/5 - 2/15, we can follow these steps:

1. Find a Common Denominator: To add or subtract fractions, we need to have a common denominator. In this case, the common denominator for 5 and 15 is 15.

2. Convert Fractions to the Common Denominator: We need to express 11/5 and 2/15 with the common denominator of 15.

3. Perform the Subtraction: Once the fractions are expressed with the common denominator, we can subtract them.

4. Solve for x: After obtaining the result of the subtraction, we can solve for x.

Let's proceed with these steps.

Step 1: Find a Common Denominator

The common denominator for 5 and 15 is 15.

Step 2: Convert Fractions to the Common Denominator

11/5 can be expressed with the common denominator of 15 as follows: 11/5 = 33/15

2/15 remains the same.

Step 3: Perform the Subtraction

Now, we can subtract the fractions: 33/15 - 2/15 = 31/15

Step 4: Solve for x

So, the equation becomes: 3/x = 31/15

To solve for x, we can cross-multiply: 3 * 15 = 31 * x 45 = 31x

Finally, solving for x: x = 45 / 31

Therefore, the solution to the equation 3/x = 11/5 - 2/15 is: x = 45 / 31