What is 85/28 Divided By 7/8

Solving $\frac{85}{28}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{28} \div \frac{7}{8} = \frac{85}{28} \times \frac{8}{7}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $28 \times 7 = 196$
• Form the New Fraction: $\frac{85}{28} \times \frac{7}{8} = \frac{680}{196}$

Let's Simplify $\frac{680}{196}$

• Find the Greatest Common Divisor (GCD) of $680$ and $196$. The GCD of $680$ and $196$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 4}{196 \div 4} = \frac{170}{49}$

Answer $\frac{85}{28}\div\frac{7}{8} = \frac{170}{49}$

The following animation demonstrates the divide-by,