What is 38/85 Divided By 6/9

Solving $\frac{38}{85}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{85} \div \frac{6}{9} = \frac{38}{85} \times \frac{9}{6}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{38}{85} \times \frac{6}{9} = \frac{342}{510}$

Let's Simplify $\frac{342}{510}$

• Find the Greatest Common Divisor (GCD) of $342$ and $510$. The GCD of $342$ and $510$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 6}{510 \div 6} = \frac{57}{85}$

Answer $\frac{38}{85}\div\frac{6}{9} = \frac{57}{85}$

The following animation demonstrates the divide-by,