Question

perform the operation and simplify the answer fully.
\frac{3}{4}div\frac{3}{5}

Explanation:

Step1: Recall division of fractions rule

Dividing by a fraction is multiplying by its reciprocal. So $\frac{\frac{3}{4}}{\frac{3}{5}}=\frac{3}{4}\times\frac{5}{3}$.

Step2: Multiply numerators and denominators

$\frac{3\times5}{4\times3}=\frac{15}{12}$.

Step3: Simplify the fraction

Divide both numerator and denominator by their greatest - common divisor, which is 3. $\frac{15\div3}{12\div3}=\frac{5}{4}$.

Answer:

$\frac{5}{4}$