What is 34/61 Divided By 8/3

Solving $\frac{34}{61}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{61} \div \frac{8}{3} = \frac{34}{61} \times \frac{3}{8}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $61 \times 8 = 488$
• Form the New Fraction: $\frac{34}{61} \times \frac{8}{3} = \frac{102}{488}$

Let's Simplify $\frac{102}{488}$

• Find the Greatest Common Divisor (GCD) of $102$ and $488$. The GCD of $102$ and $488$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{488 \div 2} = \frac{51}{244}$

Answer $\frac{34}{61}\div\frac{8}{3} = \frac{51}{244}$

The following animation demonstrates the divide-by,