What is 39/91 Divided By 6/8

Solving $\frac{39}{91}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{91} \div \frac{6}{8} = \frac{39}{91} \times \frac{8}{6}$

• Multiply the Numerators: $39 \times 8 = 312$
• Multiply the Denominators: $91 \times 6 = 546$
• Form the New Fraction: $\frac{39}{91} \times \frac{6}{8} = \frac{312}{546}$

Let's Simplify $\frac{312}{546}$

• Find the Greatest Common Divisor (GCD) of $312$ and $546$. The GCD of $312$ and $546$ is $78$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 78}{546 \div 78} = \frac{4}{7}$

Answer $\frac{39}{91}\div\frac{6}{8} = \frac{4}{7}$

The following animation demonstrates the divide-by,