What is 89/28 Divided By 8/7

Solving $\frac{89}{28}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{28} \div \frac{8}{7} = \frac{89}{28} \times \frac{7}{8}$

• Multiply the Numerators: $89 \times 7 = 623$
• Multiply the Denominators: $28 \times 8 = 224$
• Form the New Fraction: $\frac{89}{28} \times \frac{8}{7} = \frac{623}{224}$

Let's Simplify $\frac{623}{224}$

• Find the Greatest Common Divisor (GCD) of $623$ and $224$. The GCD of $623$ and $224$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{623 \div 7}{224 \div 7} = \frac{89}{32}$

Answer $\frac{89}{28}\div\frac{8}{7} = \frac{89}{32}$

The following animation demonstrates the divide-by,