What is 38/95 Divided By 9/8

Solving $\frac{38}{95}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{95} \div \frac{9}{8} = \frac{38}{95} \times \frac{8}{9}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $95 \times 9 = 855$
• Form the New Fraction: $\frac{38}{95} \times \frac{9}{8} = \frac{304}{855}$

Let's Simplify $\frac{304}{855}$

• Find the Greatest Common Divisor (GCD) of $304$ and $855$. The GCD of $304$ and $855$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 19}{855 \div 19} = \frac{16}{45}$

Answer $\frac{38}{95}\div\frac{9}{8} = \frac{16}{45}$

The following animation demonstrates the divide-by,