What is 54/39 Divided By 6/5

Solving $\frac{54}{39}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{39} \div \frac{6}{5} = \frac{54}{39} \times \frac{5}{6}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $39 \times 6 = 234$
• Form the New Fraction: $\frac{54}{39} \times \frac{6}{5} = \frac{270}{234}$

Let's Simplify $\frac{270}{234}$

• Find the Greatest Common Divisor (GCD) of $270$ and $234$. The GCD of $270$ and $234$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 18}{234 \div 18} = \frac{15}{13}$

Answer $\frac{54}{39}\div\frac{6}{5} = \frac{15}{13}$

The following animation demonstrates the divide-by,