What is 34/74 Divided By 6/3

Solving $\frac{34}{74}\div\frac{6}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{74} \div \frac{6}{3} = \frac{34}{74} \times \frac{3}{6}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{34}{74} \times \frac{6}{3} = \frac{102}{444}$

Let's Simplify $\frac{102}{444}$

• Find the Greatest Common Divisor (GCD) of $102$ and $444$. The GCD of $102$ and $444$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{444 \div 6} = \frac{17}{74}$

Answer $\frac{34}{74}\div\frac{6}{3} = \frac{17}{74}$

The following animation demonstrates the divide-by,