What is 19/95 Divided By 8/3

Solving $\frac{19}{95}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{95} \div \frac{8}{3} = \frac{19}{95} \times \frac{3}{8}$

• Multiply the Numerators: $19 \times 3 = 57$
• Multiply the Denominators: $95 \times 8 = 760$
• Form the New Fraction: $\frac{19}{95} \times \frac{8}{3} = \frac{57}{760}$

Let's Simplify $\frac{57}{760}$

• Find the Greatest Common Divisor (GCD) of $57$ and $760$. The GCD of $57$ and $760$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{57 \div 19}{760 \div 19} = \frac{3}{40}$

Answer $\frac{19}{95}\div\frac{8}{3} = \frac{3}{40}$

The following animation demonstrates the divide-by,