What is 57/46 Divided By 9/5

Solving $\frac{57}{46}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{46} \div \frac{9}{5} = \frac{57}{46} \times \frac{5}{9}$

• Multiply the Numerators: $57 \times 5 = 285$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{57}{46} \times \frac{9}{5} = \frac{285}{414}$

Let's Simplify $\frac{285}{414}$

• Find the Greatest Common Divisor (GCD) of $285$ and $414$. The GCD of $285$ and $414$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 3}{414 \div 3} = \frac{95}{138}$

Answer $\frac{57}{46}\div\frac{9}{5} = \frac{95}{138}$

The following animation demonstrates the divide-by,