What is 75/19 Divided By 6/1

Solving $\frac{75}{19}\div\frac{6}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{19} \div \frac{6}{1} = \frac{75}{19} \times \frac{1}{6}$

• Multiply the Numerators: $75 \times 1 = 75$
• Multiply the Denominators: $19 \times 6 = 114$
• Form the New Fraction: $\frac{75}{19} \times \frac{6}{1} = \frac{75}{114}$

Let's Simplify $\frac{75}{114}$

• Find the Greatest Common Divisor (GCD) of $75$ and $114$. The GCD of $75$ and $114$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{75 \div 3}{114 \div 3} = \frac{25}{38}$

Answer $\frac{75}{19}\div\frac{6}{1} = \frac{25}{38}$

The following animation demonstrates the divide-by,