What is 38/50 Divided By 6/9

Solving $\frac{38}{50}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{50} \div \frac{6}{9} = \frac{38}{50} \times \frac{9}{6}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $50 \times 6 = 300$
• Form the New Fraction: $\frac{38}{50} \times \frac{6}{9} = \frac{342}{300}$

Let's Simplify $\frac{342}{300}$

• Find the Greatest Common Divisor (GCD) of $342$ and $300$. The GCD of $342$ and $300$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 6}{300 \div 6} = \frac{57}{50}$

Answer $\frac{38}{50}\div\frac{6}{9} = \frac{57}{50}$

The following animation demonstrates the divide-by,