What is 93/75 Divided By 2/5

Solving $\frac{93}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{75} \div \frac{2}{5} = \frac{93}{75} \times \frac{5}{2}$

• Multiply the Numerators: $93 \times 5 = 465$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{93}{75} \times \frac{2}{5} = \frac{465}{150}$

Let's Simplify $\frac{465}{150}$

• Find the Greatest Common Divisor (GCD) of $465$ and $150$. The GCD of $465$ and $150$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{465 \div 15}{150 \div 15} = \frac{31}{10}$

Answer $\frac{93}{75}\div\frac{2}{5} = \frac{31}{10}$

The following animation demonstrates the divide-by,