What is 75/89 Divided By 2/6

Solving $\frac{75}{89}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{2}{6} = \frac{75}{89} \times \frac{6}{2}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{75}{89} \times \frac{2}{6} = \frac{450}{178}$

Let's Simplify $\frac{450}{178}$

• Find the Greatest Common Divisor (GCD) of $450$ and $178$. The GCD of $450$ and $178$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 2}{178 \div 2} = \frac{225}{89}$

Answer $\frac{75}{89}\div\frac{2}{6} = \frac{225}{89}$

The following animation demonstrates the divide-by,