What is 38/75 Divided By 2/1

Solving $\frac{38}{75}\div\frac{2}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{75} \div \frac{2}{1} = \frac{38}{75} \times \frac{1}{2}$

• Multiply the Numerators: $38 \times 1 = 38$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{38}{75} \times \frac{2}{1} = \frac{38}{150}$

Let's Simplify $\frac{38}{150}$

• Find the Greatest Common Divisor (GCD) of $38$ and $150$. The GCD of $38$ and $150$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{38 \div 2}{150 \div 2} = \frac{19}{75}$

Answer $\frac{38}{75}\div\frac{2}{1} = \frac{19}{75}$

The following animation demonstrates the divide-by,