What is 91/70 Divided By 6/9

Solving $\frac{91}{70}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{70} \div \frac{6}{9} = \frac{91}{70} \times \frac{9}{6}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{91}{70} \times \frac{6}{9} = \frac{819}{420}$

Let's Simplify $\frac{819}{420}$

• Find the Greatest Common Divisor (GCD) of $819$ and $420$. The GCD of $819$ and $420$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 21}{420 \div 21} = \frac{39}{20}$

Answer $\frac{91}{70}\div\frac{6}{9} = \frac{39}{20}$

The following animation demonstrates the divide-by,