What is 85/18 Divided By 3/8

Solving $\frac{85}{18}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{18} \div \frac{3}{8} = \frac{85}{18} \times \frac{8}{3}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $18 \times 3 = 54$
• Form the New Fraction: $\frac{85}{18} \times \frac{3}{8} = \frac{680}{54}$

Let's Simplify $\frac{680}{54}$

• Find the Greatest Common Divisor (GCD) of $680$ and $54$. The GCD of $680$ and $54$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 2}{54 \div 2} = \frac{340}{27}$

Answer $\frac{85}{18}\div\frac{3}{8} = \frac{340}{27}$

The following animation demonstrates the divide-by,