What is 38/95 Divided By 6/9

Solving $\frac{38}{95}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{95} \div \frac{6}{9} = \frac{38}{95} \times \frac{9}{6}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $95 \times 6 = 570$
• Form the New Fraction: $\frac{38}{95} \times \frac{6}{9} = \frac{342}{570}$

Let's Simplify $\frac{342}{570}$

• Find the Greatest Common Divisor (GCD) of $342$ and $570$. The GCD of $342$ and $570$ is $114$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 114}{570 \div 114} = \frac{3}{5}$

Answer $\frac{38}{95}\div\frac{6}{9} = \frac{3}{5}$

The following animation demonstrates the divide-by,