What is 46/57 Divided By 8/9

Solving $\frac{46}{57}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{57} \div \frac{8}{9} = \frac{46}{57} \times \frac{9}{8}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $57 \times 8 = 456$
• Form the New Fraction: $\frac{46}{57} \times \frac{8}{9} = \frac{414}{456}$

Let's Simplify $\frac{414}{456}$

• Find the Greatest Common Divisor (GCD) of $414$ and $456$. The GCD of $414$ and $456$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{456 \div 6} = \frac{69}{76}$

Answer $\frac{46}{57}\div\frac{8}{9} = \frac{69}{76}$

The following animation demonstrates the divide-by,