What is 74/34 Divided By 3/1

Solving $\frac{74}{34}\div\frac{3}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{34} \div \frac{3}{1} = \frac{74}{34} \times \frac{1}{3}$

• Multiply the Numerators: $74 \times 1 = 74$
• Multiply the Denominators: $34 \times 3 = 102$
• Form the New Fraction: $\frac{74}{34} \times \frac{3}{1} = \frac{74}{102}$

Let's Simplify $\frac{74}{102}$

• Find the Greatest Common Divisor (GCD) of $74$ and $102$. The GCD of $74$ and $102$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{74 \div 2}{102 \div 2} = \frac{37}{51}$

Answer $\frac{74}{34}\div\frac{3}{1} = \frac{37}{51}$

The following animation demonstrates the divide-by,