What is 46/72 Divided By 7/9

Solving $\frac{46}{72}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{72} \div \frac{7}{9} = \frac{46}{72} \times \frac{9}{7}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $72 \times 7 = 504$
• Form the New Fraction: $\frac{46}{72} \times \frac{7}{9} = \frac{414}{504}$

Let's Simplify $\frac{414}{504}$

• Find the Greatest Common Divisor (GCD) of $414$ and $504$. The GCD of $414$ and $504$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 18}{504 \div 18} = \frac{23}{28}$

Answer $\frac{46}{72}\div\frac{7}{9} = \frac{23}{28}$

The following animation demonstrates the divide-by,