What is 46/50 Divided By 9/4

Solving $\frac{46}{50}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{50} \div \frac{9}{4} = \frac{46}{50} \times \frac{4}{9}$

• Multiply the Numerators: $46 \times 4 = 184$
• Multiply the Denominators: $50 \times 9 = 450$
• Form the New Fraction: $\frac{46}{50} \times \frac{9}{4} = \frac{184}{450}$

Let's Simplify $\frac{184}{450}$

• Find the Greatest Common Divisor (GCD) of $184$ and $450$. The GCD of $184$ and $450$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{184 \div 2}{450 \div 2} = \frac{92}{225}$

Answer $\frac{46}{50}\div\frac{9}{4} = \frac{92}{225}$

The following animation demonstrates the divide-by,