What is 91/27 Divided By 7/6

Solving $\frac{91}{27}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{27} \div \frac{7}{6} = \frac{91}{27} \times \frac{6}{7}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{91}{27} \times \frac{7}{6} = \frac{546}{189}$

Let's Simplify $\frac{546}{189}$

• Find the Greatest Common Divisor (GCD) of $546$ and $189$. The GCD of $546$ and $189$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 21}{189 \div 21} = \frac{26}{9}$

Answer $\frac{91}{27}\div\frac{7}{6} = \frac{26}{9}$

The following animation demonstrates the divide-by,