What is 54/46 Divided By 3/5

Solving $\frac{54}{46}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{46} \div \frac{3}{5} = \frac{54}{46} \times \frac{5}{3}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{54}{46} \times \frac{3}{5} = \frac{270}{138}$

Let's Simplify $\frac{270}{138}$

• Find the Greatest Common Divisor (GCD) of $270$ and $138$. The GCD of $270$ and $138$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 6}{138 \div 6} = \frac{45}{23}$

Answer $\frac{54}{46}\div\frac{3}{5} = \frac{45}{23}$

The following animation demonstrates the divide-by,