What is 52/91 Divided By 2/3

Solving $\frac{52}{91}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{91} \div \frac{2}{3} = \frac{52}{91} \times \frac{3}{2}$

• Multiply the Numerators: $52 \times 3 = 156$
• Multiply the Denominators: $91 \times 2 = 182$
• Form the New Fraction: $\frac{52}{91} \times \frac{2}{3} = \frac{156}{182}$

Let's Simplify $\frac{156}{182}$

• Find the Greatest Common Divisor (GCD) of $156$ and $182$. The GCD of $156$ and $182$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 26}{182 \div 26} = \frac{6}{7}$

Answer $\frac{52}{91}\div\frac{2}{3} = \frac{6}{7}$

The following animation demonstrates the divide-by,