What is 34/50 Divided By 5/3

Solving $\frac{34}{50}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{50} \div \frac{5}{3} = \frac{34}{50} \times \frac{3}{5}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $50 \times 5 = 250$
• Form the New Fraction: $\frac{34}{50} \times \frac{5}{3} = \frac{102}{250}$

Let's Simplify $\frac{102}{250}$

• Find the Greatest Common Divisor (GCD) of $102$ and $250$. The GCD of $102$ and $250$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{250 \div 2} = \frac{51}{125}$

Answer $\frac{34}{50}\div\frac{5}{3} = \frac{51}{125}$

The following animation demonstrates the divide-by,