What is 74/17 Divided By 6/5

Solving $\frac{74}{17}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{17} \div \frac{6}{5} = \frac{74}{17} \times \frac{5}{6}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{74}{17} \times \frac{6}{5} = \frac{370}{102}$

Let's Simplify $\frac{370}{102}$

• Find the Greatest Common Divisor (GCD) of $370$ and $102$. The GCD of $370$ and $102$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 2}{102 \div 2} = \frac{185}{51}$

Answer $\frac{74}{17}\div\frac{6}{5} = \frac{185}{51}$

The following animation demonstrates the divide-by,