What is 46/52 Divided By 8/9

Solving $\frac{46}{52}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{52} \div \frac{8}{9} = \frac{46}{52} \times \frac{9}{8}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{46}{52} \times \frac{8}{9} = \frac{414}{416}$

Let's Simplify $\frac{414}{416}$

• Find the Greatest Common Divisor (GCD) of $414$ and $416$. The GCD of $414$ and $416$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 2}{416 \div 2} = \frac{207}{208}$

Answer $\frac{46}{52}\div\frac{8}{9} = \frac{207}{208}$

The following animation demonstrates the divide-by,