What is 75/12 Divided By 2/7

Solving $\frac{75}{12}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{12} \div \frac{2}{7} = \frac{75}{12} \times \frac{7}{2}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $12 \times 2 = 24$
• Form the New Fraction: $\frac{75}{12} \times \frac{2}{7} = \frac{525}{24}$

Let's Simplify $\frac{525}{24}$

• Find the Greatest Common Divisor (GCD) of $525$ and $24$. The GCD of $525$ and $24$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 3}{24 \div 3} = \frac{175}{8}$

Answer $\frac{75}{12}\div\frac{2}{7} = \frac{175}{8}$

The following animation demonstrates the divide-by,