What is 17/85 Divided By 6/9

Solving $\frac{17}{85}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{6}{9} = \frac{17}{85} \times \frac{9}{6}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{17}{85} \times \frac{6}{9} = \frac{153}{510}$

Let's Simplify $\frac{153}{510}$

• Find the Greatest Common Divisor (GCD) of $153$ and $510$. The GCD of $153$ and $510$ is $51$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 51}{510 \div 51} = \frac{3}{10}$

Answer $\frac{17}{85}\div\frac{6}{9} = \frac{3}{10}$

The following animation demonstrates the divide-by,