What is 54/43 Divided By 6/5

Solving $\frac{54}{43}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{43} \div \frac{6}{5} = \frac{54}{43} \times \frac{5}{6}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $43 \times 6 = 258$
• Form the New Fraction: $\frac{54}{43} \times \frac{6}{5} = \frac{270}{258}$

Let's Simplify $\frac{270}{258}$

• Find the Greatest Common Divisor (GCD) of $270$ and $258$. The GCD of $270$ and $258$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 6}{258 \div 6} = \frac{45}{43}$

Answer $\frac{54}{43}\div\frac{6}{5} = \frac{45}{43}$

The following animation demonstrates the divide-by,