What is 45/46 Divided By 9/8

Solving $\frac{45}{46}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{9}{8} = \frac{45}{46} \times \frac{8}{9}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{45}{46} \times \frac{9}{8} = \frac{360}{414}$

Let's Simplify $\frac{360}{414}$

• Find the Greatest Common Divisor (GCD) of $360$ and $414$. The GCD of $360$ and $414$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 18}{414 \div 18} = \frac{20}{23}$

Answer $\frac{45}{46}\div\frac{9}{8} = \frac{20}{23}$

The following animation demonstrates the divide-by,