What is 33/27 Divided By 7/5

Solving $\frac{33}{27}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{27} \div \frac{7}{5} = \frac{33}{27} \times \frac{5}{7}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{33}{27} \times \frac{7}{5} = \frac{165}{189}$

Let's Simplify $\frac{165}{189}$

• Find the Greatest Common Divisor (GCD) of $165$ and $189$. The GCD of $165$ and $189$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{189 \div 3} = \frac{55}{63}$

Answer $\frac{33}{27}\div\frac{7}{5} = \frac{55}{63}$

The following animation demonstrates the divide-by,