What is 17/74 Divided By 7/6

Solving $\frac{17}{74}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{74} \div \frac{7}{6} = \frac{17}{74} \times \frac{6}{7}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{17}{74} \times \frac{7}{6} = \frac{102}{518}$

Let's Simplify $\frac{102}{518}$

• Find the Greatest Common Divisor (GCD) of $102$ and $518$. The GCD of $102$ and $518$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{518 \div 2} = \frac{51}{259}$

Answer $\frac{17}{74}\div\frac{7}{6} = \frac{51}{259}$

The following animation demonstrates the divide-by,