What is 46/75 Divided By 6/9

Solving $\frac{46}{75}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{6}{9} = \frac{46}{75} \times \frac{9}{6}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{46}{75} \times \frac{6}{9} = \frac{414}{450}$

Let's Simplify $\frac{414}{450}$

• Find the Greatest Common Divisor (GCD) of $414$ and $450$. The GCD of $414$ and $450$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 18}{450 \div 18} = \frac{23}{25}$

Answer $\frac{46}{75}\div\frac{6}{9} = \frac{23}{25}$

The following animation demonstrates the divide-by,