What is 45/48 Divided By 8/9

Solving $\frac{45}{48}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{48} \div \frac{8}{9} = \frac{45}{48} \times \frac{9}{8}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $48 \times 8 = 384$
• Form the New Fraction: $\frac{45}{48} \times \frac{8}{9} = \frac{405}{384}$

Let's Simplify $\frac{405}{384}$

• Find the Greatest Common Divisor (GCD) of $405$ and $384$. The GCD of $405$ and $384$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{384 \div 3} = \frac{135}{128}$

Answer $\frac{45}{48}\div\frac{8}{9} = \frac{135}{128}$

The following animation demonstrates the divide-by,