What is 45/53 Divided By 9/8

Solving $\frac{45}{53}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{53} \div \frac{9}{8} = \frac{45}{53} \times \frac{8}{9}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $53 \times 9 = 477$
• Form the New Fraction: $\frac{45}{53} \times \frac{9}{8} = \frac{360}{477}$

Let's Simplify $\frac{360}{477}$

• Find the Greatest Common Divisor (GCD) of $360$ and $477$. The GCD of $360$ and $477$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 9}{477 \div 9} = \frac{40}{53}$

Answer $\frac{45}{53}\div\frac{9}{8} = \frac{40}{53}$

The following animation demonstrates the divide-by,