What is 39/52 Divided By 6/7

Solving $\frac{39}{52}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{6}{7} = \frac{39}{52} \times \frac{7}{6}$

• Multiply the Numerators: $39 \times 7 = 273$
• Multiply the Denominators: $52 \times 6 = 312$
• Form the New Fraction: $\frac{39}{52} \times \frac{6}{7} = \frac{273}{312}$

Let's Simplify $\frac{273}{312}$

• Find the Greatest Common Divisor (GCD) of $273$ and $312$. The GCD of $273$ and $312$ is $39$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 39}{312 \div 39} = \frac{7}{8}$

Answer $\frac{39}{52}\div\frac{6}{7} = \frac{7}{8}$

The following animation demonstrates the divide-by,