What is 46/72 Divided By 1/4

Solving $\frac{46}{72}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{72} \div \frac{1}{4} = \frac{46}{72} \times \frac{4}{1}$

• Multiply the Numerators: $46 \times 4 = 184$
• Multiply the Denominators: $72 \times 1 = 72$
• Form the New Fraction: $\frac{46}{72} \times \frac{1}{4} = \frac{184}{72}$

Let's Simplify $\frac{184}{72}$

• Find the Greatest Common Divisor (GCD) of $184$ and $72$. The GCD of $184$ and $72$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{184 \div 8}{72 \div 8} = \frac{23}{9}$

Answer $\frac{46}{72}\div\frac{1}{4} = \frac{23}{9}$

The following animation demonstrates the divide-by,