\dfrac{3}{5}=\dfrac{w}{10}

Understand the Problem

The question is asking to solve for w in the equation \frac{3}{5} = \frac{w}{10}. This will involve cross-multiplication to isolate w.

Answer

$w = 6$

Steps to Solve

Set up the cross-multiplication To solve the equation $\frac{3}{5} = \frac{w}{10}$, we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction.

$$ 3 \cdot 10 = 5 \cdot w $$

Calculate the left side Now we calculate the left side of the equation:

$$ 30 = 5w $$

Isolate w Next, we need to isolate $w$. To do this, divide both sides of the equation by 5:

$$ \frac{30}{5} = w $$

Calculate the value of w Now we perform the division:

$$ w = 6 $$

The final answer is $w = 6$.

More Information

In this equation, we used the property of cross-multiplication, which is a valuable tool when dealing with proportions. This method allows us to eliminate fractions and easily find the variable.

Tips

Forgetting to use cross-multiplication properly can lead to incorrect equations. Make sure to multiply the correct parts of the fractions.
Incorrectly simplifying or calculating the final result might lead to mistakes. Double-check your arithmetic.

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