What is 17/39 Divided By 8/9

Solving $\frac{17}{39}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{39} \div \frac{8}{9} = \frac{17}{39} \times \frac{9}{8}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $39 \times 8 = 312$
• Form the New Fraction: $\frac{17}{39} \times \frac{8}{9} = \frac{153}{312}$

Let's Simplify $\frac{153}{312}$

• Find the Greatest Common Divisor (GCD) of $153$ and $312$. The GCD of $153$ and $312$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 3}{312 \div 3} = \frac{51}{104}$

Answer $\frac{17}{39}\div\frac{8}{9} = \frac{51}{104}$

The following animation demonstrates the divide-by,