What is 72/46 Divided By 4/7

Solving $\frac{72}{46}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{46} \div \frac{4}{7} = \frac{72}{46} \times \frac{7}{4}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $46 \times 4 = 184$
• Form the New Fraction: $\frac{72}{46} \times \frac{4}{7} = \frac{504}{184}$

Let's Simplify $\frac{504}{184}$

• Find the Greatest Common Divisor (GCD) of $504$ and $184$. The GCD of $504$ and $184$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 8}{184 \div 8} = \frac{63}{23}$

Answer $\frac{72}{46}\div\frac{4}{7} = \frac{63}{23}$

The following animation demonstrates the divide-by,