What is 46/42 Divided By 8/9

Solving $\frac{46}{42}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{42} \div \frac{8}{9} = \frac{46}{42} \times \frac{9}{8}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $42 \times 8 = 336$
• Form the New Fraction: $\frac{46}{42} \times \frac{8}{9} = \frac{414}{336}$

Let's Simplify $\frac{414}{336}$

• Find the Greatest Common Divisor (GCD) of $414$ and $336$. The GCD of $414$ and $336$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{336 \div 6} = \frac{69}{56}$

Answer $\frac{46}{42}\div\frac{8}{9} = \frac{69}{56}$

The following animation demonstrates the divide-by,