What is 34/42 Divided By 6/8

Solving $\frac{34}{42}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{42} \div \frac{6}{8} = \frac{34}{42} \times \frac{8}{6}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{34}{42} \times \frac{6}{8} = \frac{272}{252}$

Let's Simplify $\frac{272}{252}$

• Find the Greatest Common Divisor (GCD) of $272$ and $252$. The GCD of $272$ and $252$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{272 \div 4}{252 \div 4} = \frac{68}{63}$

Answer $\frac{34}{42}\div\frac{6}{8} = \frac{68}{63}$

The following animation demonstrates the divide-by,