What is 34/75 Divided By 2/9

Solving $\frac{34}{75}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{2}{9} = \frac{34}{75} \times \frac{9}{2}$

• Multiply the Numerators: $34 \times 9 = 306$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{34}{75} \times \frac{2}{9} = \frac{306}{150}$

Let's Simplify $\frac{306}{150}$

• Find the Greatest Common Divisor (GCD) of $306$ and $150$. The GCD of $306$ and $150$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{306 \div 6}{150 \div 6} = \frac{51}{25}$

Answer $\frac{34}{75}\div\frac{2}{9} = \frac{51}{25}$

The following animation demonstrates the divide-by,