What is 38/75 Divided By 8/9

Solving $\frac{38}{75}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{75} \div \frac{8}{9} = \frac{38}{75} \times \frac{9}{8}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{38}{75} \times \frac{8}{9} = \frac{342}{600}$

Let's Simplify $\frac{342}{600}$

• Find the Greatest Common Divisor (GCD) of $342$ and $600$. The GCD of $342$ and $600$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 6}{600 \div 6} = \frac{57}{100}$

Answer $\frac{38}{75}\div\frac{8}{9} = \frac{57}{100}$

The following animation demonstrates the divide-by,