What is 46/54 Divided By 5/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,