What is 38/95 Divided By 8/5

Solving $\frac{38}{95}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{95} \div \frac{8}{5} = \frac{38}{95} \times \frac{5}{8}$

• Multiply the Numerators: $38 \times 5 = 190$
• Multiply the Denominators: $95 \times 8 = 760$
• Form the New Fraction: $\frac{38}{95} \times \frac{8}{5} = \frac{190}{760}$

Let's Simplify $\frac{190}{760}$

• Find the Greatest Common Divisor (GCD) of $190$ and $760$. The GCD of $190$ and $760$ is $190$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 190}{760 \div 190} = \frac{1}{4}$

Answer $\frac{38}{95}\div\frac{8}{5} = \frac{1}{4}$

The following animation demonstrates the divide-by,