What is 34/45 Divided By 5/9

Solving $\frac{34}{45}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{45} \div \frac{5}{9} = \frac{34}{45} \times \frac{9}{5}$

• Multiply the Numerators: $34 \times 9 = 306$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{34}{45} \times \frac{5}{9} = \frac{306}{225}$

Let's Simplify $\frac{306}{225}$

• Find the Greatest Common Divisor (GCD) of $306$ and $225$. The GCD of $306$ and $225$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{306 \div 9}{225 \div 9} = \frac{34}{25}$

Answer $\frac{34}{45}\div\frac{5}{9} = \frac{34}{25}$

The following animation demonstrates the divide-by,