What is 85/28 Divided By 5/7

Solving $\frac{85}{28}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{28} \div \frac{5}{7} = \frac{85}{28} \times \frac{7}{5}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $28 \times 5 = 140$
• Form the New Fraction: $\frac{85}{28} \times \frac{5}{7} = \frac{595}{140}$

Let's Simplify $\frac{595}{140}$

• Find the Greatest Common Divisor (GCD) of $595$ and $140$. The GCD of $595$ and $140$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 35}{140 \div 35} = \frac{17}{4}$

Answer $\frac{85}{28}\div\frac{5}{7} = \frac{17}{4}$

The following animation demonstrates the divide-by,