What is 39/52 Divided By 2/7

Solving $\frac{39}{52}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{2}{7} = \frac{39}{52} \times \frac{7}{2}$

• Multiply the Numerators: $39 \times 7 = 273$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{39}{52} \times \frac{2}{7} = \frac{273}{104}$

Let's Simplify $\frac{273}{104}$

• Find the Greatest Common Divisor (GCD) of $273$ and $104$. The GCD of $273$ and $104$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 13}{104 \div 13} = \frac{21}{8}$

Answer $\frac{39}{52}\div\frac{2}{7} = \frac{21}{8}$

The following animation demonstrates the divide-by,