What is 17/38 Divided By 2/8

Solving $\frac{17}{38}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{38} \div \frac{2}{8} = \frac{17}{38} \times \frac{8}{2}$

• Multiply the Numerators: $17 \times 8 = 136$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{17}{38} \times \frac{2}{8} = \frac{136}{76}$

Let's Simplify $\frac{136}{76}$

• Find the Greatest Common Divisor (GCD) of $136$ and $76$. The GCD of $136$ and $76$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{136 \div 4}{76 \div 4} = \frac{34}{19}$

Answer $\frac{17}{38}\div\frac{2}{8} = \frac{34}{19}$

The following animation demonstrates the divide-by,