What is 17/38 Divided By 5/6

Solving $\frac{17}{38}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{38} \div \frac{5}{6} = \frac{17}{38} \times \frac{6}{5}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $38 \times 5 = 190$
• Form the New Fraction: $\frac{17}{38} \times \frac{5}{6} = \frac{102}{190}$

Let's Simplify $\frac{102}{190}$

• Find the Greatest Common Divisor (GCD) of $102$ and $190$. The GCD of $102$ and $190$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{190 \div 2} = \frac{51}{95}$

Answer $\frac{17}{38}\div\frac{5}{6} = \frac{51}{95}$

The following animation demonstrates the divide-by,