What is 27/17 Divided By 9/8

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,