What is 34/75 Divided By 4/3

Solving $\frac{34}{75}\div\frac{4}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{4}{3} = \frac{34}{75} \times \frac{3}{4}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{34}{75} \times \frac{4}{3} = \frac{102}{300}$

Let's Simplify $\frac{102}{300}$

• Find the Greatest Common Divisor (GCD) of $102$ and $300$. The GCD of $102$ and $300$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{300 \div 6} = \frac{17}{50}$

Answer $\frac{34}{75}\div\frac{4}{3} = \frac{17}{50}$

The following animation demonstrates the divide-by,