What is 26/46 Divided By 9/3

Solving $\frac{26}{46}\div\frac{9}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{46} \div \frac{9}{3} = \frac{26}{46} \times \frac{3}{9}$

• Multiply the Numerators: $26 \times 3 = 78$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{26}{46} \times \frac{9}{3} = \frac{78}{414}$

Let's Simplify $\frac{78}{414}$

• Find the Greatest Common Divisor (GCD) of $78$ and $414$. The GCD of $78$ and $414$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 6}{414 \div 6} = \frac{13}{69}$

Answer $\frac{26}{46}\div\frac{9}{3} = \frac{13}{69}$

The following animation demonstrates the divide-by,