What is 38/93 Divided By 1/9

Solving $\frac{38}{93}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{93} \div \frac{1}{9} = \frac{38}{93} \times \frac{9}{1}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $93 \times 1 = 93$
• Form the New Fraction: $\frac{38}{93} \times \frac{1}{9} = \frac{342}{93}$

Let's Simplify $\frac{342}{93}$

• Find the Greatest Common Divisor (GCD) of $342$ and $93$. The GCD of $342$ and $93$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 3}{93 \div 3} = \frac{114}{31}$

Answer $\frac{38}{93}\div\frac{1}{9} = \frac{114}{31}$

The following animation demonstrates the divide-by,