What is 38/50 Divided By 8/3

Solving $\frac{38}{50}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{50} \div \frac{8}{3} = \frac{38}{50} \times \frac{3}{8}$

• Multiply the Numerators: $38 \times 3 = 114$
• Multiply the Denominators: $50 \times 8 = 400$
• Form the New Fraction: $\frac{38}{50} \times \frac{8}{3} = \frac{114}{400}$

Let's Simplify $\frac{114}{400}$

• Find the Greatest Common Divisor (GCD) of $114$ and $400$. The GCD of $114$ and $400$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 2}{400 \div 2} = \frac{57}{200}$

Answer $\frac{38}{50}\div\frac{8}{3} = \frac{57}{200}$

The following animation demonstrates the divide-by,