What is 52/26 Divided By 5/9

Solving $\frac{52}{26}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{26} \div \frac{5}{9} = \frac{52}{26} \times \frac{9}{5}$

• Multiply the Numerators: $52 \times 9 = 468$
• Multiply the Denominators: $26 \times 5 = 130$
• Form the New Fraction: $\frac{52}{26} \times \frac{5}{9} = \frac{468}{130}$

Let's Simplify $\frac{468}{130}$

• Find the Greatest Common Divisor (GCD) of $468$ and $130$. The GCD of $468$ and $130$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{468 \div 26}{130 \div 26} = \frac{18}{5}$

Answer $\frac{52}{26}\div\frac{5}{9} = \frac{18}{5}$

The following animation demonstrates the divide-by,