What is 27/26 Divided By 3/1

Solving $\frac{27}{26}\div\frac{3}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{26} \div \frac{3}{1} = \frac{27}{26} \times \frac{1}{3}$

• Multiply the Numerators: $27 \times 1 = 27$
• Multiply the Denominators: $26 \times 3 = 78$
• Form the New Fraction: $\frac{27}{26} \times \frac{3}{1} = \frac{27}{78}$

Let's Simplify $\frac{27}{78}$

• Find the Greatest Common Divisor (GCD) of $27$ and $78$. The GCD of $27$ and $78$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{27 \div 3}{78 \div 3} = \frac{9}{26}$

Answer $\frac{27}{26}\div\frac{3}{1} = \frac{9}{26}$

The following animation demonstrates the divide-by,