What is 89/63 Divided By 2/7

Solving $\frac{89}{63}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{63} \div \frac{2}{7} = \frac{89}{63} \times \frac{7}{2}$

• Multiply the Numerators: $89 \times 7 = 623$
• Multiply the Denominators: $63 \times 2 = 126$
• Form the New Fraction: $\frac{89}{63} \times \frac{2}{7} = \frac{623}{126}$

Let's Simplify $\frac{623}{126}$

• Find the Greatest Common Divisor (GCD) of $623$ and $126$. The GCD of $623$ and $126$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{623 \div 7}{126 \div 7} = \frac{89}{18}$

Answer $\frac{89}{63}\div\frac{2}{7} = \frac{89}{18}$

The following animation demonstrates the divide-by,