What is 46/75 Divided By 1/9

Solving $\frac{46}{75}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{1}{9} = \frac{46}{75} \times \frac{9}{1}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{46}{75} \times \frac{1}{9} = \frac{414}{75}$

Let's Simplify $\frac{414}{75}$

• Find the Greatest Common Divisor (GCD) of $414$ and $75$. The GCD of $414$ and $75$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 3}{75 \div 3} = \frac{138}{25}$

Answer $\frac{46}{75}\div\frac{1}{9} = \frac{138}{25}$

The following animation demonstrates the divide-by,