What is 27/75 Divided By 7/1

Solving $\frac{27}{75}\div\frac{7}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{75} \div \frac{7}{1} = \frac{27}{75} \times \frac{1}{7}$

• Multiply the Numerators: $27 \times 1 = 27$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{27}{75} \times \frac{7}{1} = \frac{27}{525}$

Let's Simplify $\frac{27}{525}$

• Find the Greatest Common Divisor (GCD) of $27$ and $525$. The GCD of $27$ and $525$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{27 \div 3}{525 \div 3} = \frac{9}{175}$

Answer $\frac{27}{75}\div\frac{7}{1} = \frac{9}{175}$

The following animation demonstrates the divide-by,