What is 34/54 Divided By 5/3

Solving $\frac{34}{54}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{54} \div \frac{5}{3} = \frac{34}{54} \times \frac{3}{5}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{34}{54} \times \frac{5}{3} = \frac{102}{270}$

Let's Simplify $\frac{102}{270}$

• Find the Greatest Common Divisor (GCD) of $102$ and $270$. The GCD of $102$ and $270$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{270 \div 6} = \frac{17}{45}$

Answer $\frac{34}{54}\div\frac{5}{3} = \frac{17}{45}$

The following animation demonstrates the divide-by,