Solve for w*w* and simplify your answer.

start fraction, 3, divided by, 5, end fraction, w, equals, 4

53​*w*=

4

To solve for \( w \) in the equation:

\[
\frac{3}{5} w = 4
\]

### Step 1: Isolate \( w \)
To isolate \( w \), multiply both sides of the equation by the reciprocal of \(\frac{3}{5}\), which is \(\frac{5}{3}\):

\[
w = 4 \times \frac{5}{3}
\]

### Step 2: Perform the multiplication
Multiply \( 4 \) by \(\frac{5}{3}\):

\[
w = \frac{4 \times 5}{3} = \frac{20}{3}
\]

### Step 3: Simplify (if possible)
The fraction \(\frac{20}{3}\) is already in its simplest form, so:

\[
w = \frac{20}{3}
\]

Therefore, the solution for \( w \) is:

\[
w = \frac{20}{3}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the decimal form of \(\frac{20}{3}\)?
2. How do you solve similar equations with different fractions on both sides?
3. What is the process to convert \(\frac{20}{3}\) to a mixed number?
4. How can you verify that \( w = \frac{20}{3} \) is the correct solution?
5. What happens if you multiply both sides of the equation by a non-reciprocal fraction?

**Tip:** When dealing with fractions in equations, multiplying by the reciprocal of the fraction is a key step to isolating the variable.

Learn how to solve the equation (3/5)w = 4 step-by-step. Understand the process of isolating the variable w by multiplying both sides with the reciprocal of (3/5). This problem covers key concepts in fractions and equations. Suitable for students in Grades 6-8.

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