What is 60/46 Divided By 2/5

Solving $\frac{60}{46}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{46} \div \frac{2}{5} = \frac{60}{46} \times \frac{5}{2}$

• Multiply the Numerators: $60 \times 5 = 300$
• Multiply the Denominators: $46 \times 2 = 92$
• Form the New Fraction: $\frac{60}{46} \times \frac{2}{5} = \frac{300}{92}$

Let's Simplify $\frac{300}{92}$

• Find the Greatest Common Divisor (GCD) of $300$ and $92$. The GCD of $300$ and $92$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 4}{92 \div 4} = \frac{75}{23}$

Answer $\frac{60}{46}\div\frac{2}{5} = \frac{75}{23}$

The following animation demonstrates the divide-by,