What is 75/88 Divided By 2/6

Solving $\frac{75}{88}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{88} \div \frac{2}{6} = \frac{75}{88} \times \frac{6}{2}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $88 \times 2 = 176$
• Form the New Fraction: $\frac{75}{88} \times \frac{2}{6} = \frac{450}{176}$

Let's Simplify $\frac{450}{176}$

• Find the Greatest Common Divisor (GCD) of $450$ and $176$. The GCD of $450$ and $176$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 2}{176 \div 2} = \frac{225}{88}$

Answer $\frac{75}{88}\div\frac{2}{6} = \frac{225}{88}$

The following animation demonstrates the divide-by,