What is 12/52 Divided By 6/7

Solving $\frac{12}{52}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{52} \div \frac{6}{7} = \frac{12}{52} \times \frac{7}{6}$

• Multiply the Numerators: $12 \times 7 = 84$
• Multiply the Denominators: $52 \times 6 = 312$
• Form the New Fraction: $\frac{12}{52} \times \frac{6}{7} = \frac{84}{312}$

Let's Simplify $\frac{84}{312}$

• Find the Greatest Common Divisor (GCD) of $84$ and $312$. The GCD of $84$ and $312$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 12}{312 \div 12} = \frac{7}{26}$

Answer $\frac{12}{52}\div\frac{6}{7} = \frac{7}{26}$

The following animation demonstrates the divide-by,