What is 93/53 Divided By 3/5

Solving $\frac{93}{53}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{53} \div \frac{3}{5} = \frac{93}{53} \times \frac{5}{3}$

• Multiply the Numerators: $93 \times 5 = 465$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{93}{53} \times \frac{3}{5} = \frac{465}{159}$

Let's Simplify $\frac{465}{159}$

• Find the Greatest Common Divisor (GCD) of $465$ and $159$. The GCD of $465$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{465 \div 3}{159 \div 3} = \frac{155}{53}$

Answer $\frac{93}{53}\div\frac{3}{5} = \frac{155}{53}$

The following animation demonstrates the divide-by,