What is 34/52 Divided By 1/9

Solving $\frac{34}{52}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{52} \div \frac{1}{9} = \frac{34}{52} \times \frac{9}{1}$

• Multiply the Numerators: $34 \times 9 = 306$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{34}{52} \times \frac{1}{9} = \frac{306}{52}$

Let's Simplify $\frac{306}{52}$

• Find the Greatest Common Divisor (GCD) of $306$ and $52$. The GCD of $306$ and $52$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{306 \div 2}{52 \div 2} = \frac{153}{26}$

Answer $\frac{34}{52}\div\frac{1}{9} = \frac{153}{26}$

The following animation demonstrates the divide-by,