What is 85/34 Divided By 7/3

Solving $\frac{85}{34}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{7}{3} = \frac{85}{34} \times \frac{3}{7}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $34 \times 7 = 238$
• Form the New Fraction: $\frac{85}{34} \times \frac{7}{3} = \frac{255}{238}$

Let's Simplify $\frac{255}{238}$

• Find the Greatest Common Divisor (GCD) of $255$ and $238$. The GCD of $255$ and $238$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 17}{238 \div 17} = \frac{15}{14}$

Answer $\frac{85}{34}\div\frac{7}{3} = \frac{15}{14}$

The following animation demonstrates the divide-by,