What is 27/39 Divided By 7/5

Solving $\frac{27}{39}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{39} \div \frac{7}{5} = \frac{27}{39} \times \frac{5}{7}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $39 \times 7 = 273$
• Form the New Fraction: $\frac{27}{39} \times \frac{7}{5} = \frac{135}{273}$

Let's Simplify $\frac{135}{273}$

• Find the Greatest Common Divisor (GCD) of $135$ and $273$. The GCD of $135$ and $273$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 3}{273 \div 3} = \frac{45}{91}$

Answer $\frac{27}{39}\div\frac{7}{5} = \frac{45}{91}$

The following animation demonstrates the divide-by,