Questions: 3/4 x=13

Transcript text: Solve: $\frac{3}{4} x=13$. Give your answer as a simplified fraction, if necessary. Do not include " $x=$ " in your answer. Provide your answer below:

Solution

Solution Steps

To solve the equation $\frac{3}{4} x = 13$, we need to isolate $x$. This can be done by multiplying both sides of the equation by the reciprocal of $\frac{3}{4}$, which is $\frac{4}{3}$.

Step 1: Isolate $ x $

To solve the equation $\frac{3}{4} x = 13$, we need to isolate $ x $. This can be done by multiplying both sides of the equation by the reciprocal of $\frac{3}{4}$, which is $\frac{4}{3}$.

Step 2: Multiply Both Sides by the Reciprocal

\[ x = 13 \times \frac{4}{3} \]

Step 3: Simplify the Expression

\[ x = \frac{13 \times 4}{3} = \frac{52}{3} \]