Questions: x/(4/15) = 1/15

Transcript text: $\frac{x}{\frac{4}{15}}=\frac{1}{15}$

Solution

Solution Steps

To solve the equation $\frac{x}{\frac{4}{15}} = \frac{1}{15}$, we can use the property of fractions that states dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, we can multiply both sides of the equation by $\frac{15}{4}$ to isolate $x$.

Step 1: Understand the Equation

The given equation is $\frac{x}{\frac{4}{15}} = \frac{1}{15}$. Our goal is to solve for $x$.

Step 2: Multiply by the Reciprocal

To isolate $x$, multiply both sides of the equation by the reciprocal of $\frac{4}{15}$, which is $\frac{15}{4}$:

\[ x = \frac{1}{15} \times \frac{15}{4} \]

Step 3: Simplify the Expression

Perform the multiplication on the right side:

\[ x = \frac{1 \times 15}{15 \times 4} = \frac{15}{60} = \frac{1}{4} \]

Step 4: Convert to Decimal

Convert $\frac{1}{4}$ to a decimal:

\[ x = 0.25 \]