What is 52/39 Divided By 7/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,