What is 39/26 Divided By 7/9

Solving $\frac{39}{26}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{26} \div \frac{7}{9} = \frac{39}{26} \times \frac{9}{7}$

• Multiply the Numerators: $39 \times 9 = 351$
• Multiply the Denominators: $26 \times 7 = 182$
• Form the New Fraction: $\frac{39}{26} \times \frac{7}{9} = \frac{351}{182}$

Let's Simplify $\frac{351}{182}$

• Find the Greatest Common Divisor (GCD) of $351$ and $182$. The GCD of $351$ and $182$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{351 \div 13}{182 \div 13} = \frac{27}{14}$

Answer $\frac{39}{26}\div\frac{7}{9} = \frac{27}{14}$

The following animation demonstrates the divide-by,