What is 17/70 Divided By 3/5

Solving $\frac{17}{70}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{70} \div \frac{3}{5} = \frac{17}{70} \times \frac{5}{3}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{17}{70} \times \frac{3}{5} = \frac{85}{210}$

Let's Simplify $\frac{85}{210}$

• Find the Greatest Common Divisor (GCD) of $85$ and $210$. The GCD of $85$ and $210$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{85 \div 5}{210 \div 5} = \frac{17}{42}$

Answer $\frac{17}{70}\div\frac{3}{5} = \frac{17}{42}$

The following animation demonstrates the divide-by,