What is 75/81 Divided By 1/7

Solving $\frac{75}{81}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{1}{7} = \frac{75}{81} \times \frac{7}{1}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{75}{81} \times \frac{1}{7} = \frac{525}{81}$

Let's Simplify $\frac{525}{81}$

• Find the Greatest Common Divisor (GCD) of $525$ and $81$. The GCD of $525$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 3}{81 \div 3} = \frac{175}{27}$

Answer $\frac{75}{81}\div\frac{1}{7} = \frac{175}{27}$

The following animation demonstrates the divide-by,