What is 93/18 Divided By 2/5

Solving $\frac{93}{18}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{18} \div \frac{2}{5} = \frac{93}{18} \times \frac{5}{2}$

• Multiply the Numerators: $93 \times 5 = 465$
• Multiply the Denominators: $18 \times 2 = 36$
• Form the New Fraction: $\frac{93}{18} \times \frac{2}{5} = \frac{465}{36}$

Let's Simplify $\frac{465}{36}$

• Find the Greatest Common Divisor (GCD) of $465$ and $36$. The GCD of $465$ and $36$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{465 \div 3}{36 \div 3} = \frac{155}{12}$

Answer $\frac{93}{18}\div\frac{2}{5} = \frac{155}{12}$

The following animation demonstrates the divide-by,