What is 17/34 Divided By 3/9

Solving $\frac{17}{34}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{34} \div \frac{3}{9} = \frac{17}{34} \times \frac{9}{3}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $34 \times 3 = 102$
• Form the New Fraction: $\frac{17}{34} \times \frac{3}{9} = \frac{153}{102}$

Let's Simplify $\frac{153}{102}$

• Find the Greatest Common Divisor (GCD) of $153$ and $102$. The GCD of $153$ and $102$ is $51$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 51}{102 \div 51} = \frac{3}{2}$

Answer $\frac{17}{34}\div\frac{3}{9} = \frac{3}{2}$

The following animation demonstrates the divide-by,