What is 54/91 Divided By 6/7

Solving $\frac{54}{91}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{91} \div \frac{6}{7} = \frac{54}{91} \times \frac{7}{6}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $91 \times 6 = 546$
• Form the New Fraction: $\frac{54}{91} \times \frac{6}{7} = \frac{378}{546}$

Let's Simplify $\frac{378}{546}$

• Find the Greatest Common Divisor (GCD) of $378$ and $546$. The GCD of $378$ and $546$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 42}{546 \div 42} = \frac{9}{13}$

Answer $\frac{54}{91}\div\frac{6}{7} = \frac{9}{13}$

The following animation demonstrates the divide-by,