What is 17/74 Divided By 3/6

Solving $\frac{17}{74}\div\frac{3}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{74} \div \frac{3}{6} = \frac{17}{74} \times \frac{6}{3}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $74 \times 3 = 222$
• Form the New Fraction: $\frac{17}{74} \times \frac{3}{6} = \frac{102}{222}$

Let's Simplify $\frac{102}{222}$

• Find the Greatest Common Divisor (GCD) of $102$ and $222$. The GCD of $102$ and $222$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 6}{222 \div 6} = \frac{17}{37}$

Answer $\frac{17}{74}\div\frac{3}{6} = \frac{17}{37}$

The following animation demonstrates the divide-by,