What is 38/46 Divided By 1/5

Solving $\frac{38}{46}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{46} \div \frac{1}{5} = \frac{38}{46} \times \frac{5}{1}$

• Multiply the Numerators: $38 \times 5 = 190$
• Multiply the Denominators: $46 \times 1 = 46$
• Form the New Fraction: $\frac{38}{46} \times \frac{1}{5} = \frac{190}{46}$

Let's Simplify $\frac{190}{46}$

• Find the Greatest Common Divisor (GCD) of $190$ and $46$. The GCD of $190$ and $46$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 2}{46 \div 2} = \frac{95}{23}$

Answer $\frac{38}{46}\div\frac{1}{5} = \frac{95}{23}$

The following animation demonstrates the divide-by,