Solve the Fraction Equation: Finding the Factor in 3/4 × ? = 1/5

Dividing by a fraction is the same as multiplying by its reciprocal. When you divide by $\frac{3}{4}$, you flip it to get $\frac{4}{3}$ and multiply instead!

Look at what's being done to the unknown. Since $\frac{3}{4}$ is multiplied by the question mark, you need to divide both sides by $\frac{3}{4}$ to isolate it.

Not directly! Cross-multiplication works when you have $\frac{a}{b} = \frac{c}{d}$. Here you need to first rewrite as $\frac{?}{1} = \frac{1}{5} \div \frac{3}{4}$, then use reciprocal multiplication.

That's completely normal! When multiplying fractions, the result is often smaller than both original fractions. $\frac{4}{15}$ is already in lowest terms since 4 and 15 share no common factors.

Substitute it back: $\frac{3}{4} \times \frac{4}{15} = \frac{3 \times 4}{4 \times 15} = \frac{12}{60} = \frac{1}{5}$. Since this equals the right side, your answer is correct!