4) Find the quotient. $$ \frac{1}{4} \div 1 \frac{1}{2}=\square $$

Question

UpStudy AI · Accepted Answer

To find the quotient of $$ \frac{1}{4} \div 1 \frac{1}{2} $$, follow these steps:

1. **Convert the mixed number to an improper fraction:**
   $$
   1 \frac{1}{2} = \frac{3}{2}
   $$

2. **Rewrite the division as multiplication by the reciprocal:**
   $$
   \frac{1}{4} \div \frac{3}{2} = \frac{1}{4} \times \frac{2}{3}
   $$

3. **Multiply the fractions:**
   $$
   \frac{1 \times 2}{4 \times 3} = \frac{2}{12}
   $$

4. **Simplify the fraction:**
   $$
   \frac{2}{12} = \frac{1}{6}
   $$

**Answer:** $$ \frac{1}{6} $$
The quotient is $$ \frac{1}{6} $$.

4) Find the quotient. \( \frac{1}{4} \div 1 \frac{1}{2}=\square \)