What is 39/91 Divided By 2/7

Solving $\frac{39}{91}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{91} \div \frac{2}{7} = \frac{39}{91} \times \frac{7}{2}$

• Multiply the Numerators: $39 \times 7 = 273$
• Multiply the Denominators: $91 \times 2 = 182$
• Form the New Fraction: $\frac{39}{91} \times \frac{2}{7} = \frac{273}{182}$

Let's Simplify $\frac{273}{182}$

• Find the Greatest Common Divisor (GCD) of $273$ and $182$. The GCD of $273$ and $182$ is $91$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 91}{182 \div 91} = \frac{3}{2}$

Answer $\frac{39}{91}\div\frac{2}{7} = \frac{3}{2}$

The following animation demonstrates the divide-by,