What is 46/72 Divided By 9/2

Solving $\frac{46}{72}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{72} \div \frac{9}{2} = \frac{46}{72} \times \frac{2}{9}$

• Multiply the Numerators: $46 \times 2 = 92$
• Multiply the Denominators: $72 \times 9 = 648$
• Form the New Fraction: $\frac{46}{72} \times \frac{9}{2} = \frac{92}{648}$

Let's Simplify $\frac{92}{648}$

• Find the Greatest Common Divisor (GCD) of $92$ and $648$. The GCD of $92$ and $648$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{92 \div 4}{648 \div 4} = \frac{23}{162}$

Answer $\frac{46}{72}\div\frac{9}{2} = \frac{23}{162}$

The following animation demonstrates the divide-by,