What is 42/34 Divided By 6/7

Solving $\frac{42}{34}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{34} \div \frac{6}{7} = \frac{42}{34} \times \frac{7}{6}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $34 \times 6 = 204$
• Form the New Fraction: $\frac{42}{34} \times \frac{6}{7} = \frac{294}{204}$

Let's Simplify $\frac{294}{204}$

• Find the Greatest Common Divisor (GCD) of $294$ and $204$. The GCD of $294$ and $204$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{204 \div 6} = \frac{49}{34}$

Answer $\frac{42}{34}\div\frac{6}{7} = \frac{49}{34}$

The following animation demonstrates the divide-by,