What is 34/75 Divided By 2/5

Solving $\frac{34}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{2}{5} = \frac{34}{75} \times \frac{5}{2}$

• Multiply the Numerators: $34 \times 5 = 170$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{34}{75} \times \frac{2}{5} = \frac{170}{150}$

Let's Simplify $\frac{170}{150}$

• Find the Greatest Common Divisor (GCD) of $170$ and $150$. The GCD of $170$ and $150$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 10}{150 \div 10} = \frac{17}{15}$

Answer $\frac{34}{75}\div\frac{2}{5} = \frac{17}{15}$

The following animation demonstrates the divide-by,