What is 38/26 Divided By 3/9

Solving $\frac{38}{26}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{26} \div \frac{3}{9} = \frac{38}{26} \times \frac{9}{3}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $26 \times 3 = 78$
• Form the New Fraction: $\frac{38}{26} \times \frac{3}{9} = \frac{342}{78}$

Let's Simplify $\frac{342}{78}$

• Find the Greatest Common Divisor (GCD) of $342$ and $78$. The GCD of $342$ and $78$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 6}{78 \div 6} = \frac{57}{13}$

Answer $\frac{38}{26}\div\frac{3}{9} = \frac{57}{13}$

The following animation demonstrates the divide-by,