What is 17/27 Divided By 8/9

Solving $\frac{17}{27}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{27} \div \frac{8}{9} = \frac{17}{27} \times \frac{9}{8}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{17}{27} \times \frac{8}{9} = \frac{153}{216}$

Let's Simplify $\frac{153}{216}$

• Find the Greatest Common Divisor (GCD) of $153$ and $216$. The GCD of $153$ and $216$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 9}{216 \div 9} = \frac{17}{24}$

Answer $\frac{17}{27}\div\frac{8}{9} = \frac{17}{24}$

The following animation demonstrates the divide-by,