What is 93/85 Divided By 3/7

Solving $\frac{93}{85}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{85} \div \frac{3}{7} = \frac{93}{85} \times \frac{7}{3}$

• Multiply the Numerators: $93 \times 7 = 651$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{93}{85} \times \frac{3}{7} = \frac{651}{255}$

Let's Simplify $\frac{651}{255}$

• Find the Greatest Common Divisor (GCD) of $651$ and $255$. The GCD of $651$ and $255$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{651 \div 3}{255 \div 3} = \frac{217}{85}$

Answer $\frac{93}{85}\div\frac{3}{7} = \frac{217}{85}$

The following animation demonstrates the divide-by,