(4) Find the quotient. $$ 3 \frac{5}{7} \div 4=\square $$

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UpStudy AI · Accepted Answer

To find the quotient of $$ 3 \frac{5}{7} \div 4 $$, follow these steps:

1. **Convert the Mixed Number to an Improper Fraction:**
   
   $$ 3 \frac{5}{7} = \frac{3 	imes 7 + 5}{7} = \frac{21 + 5}{7} = \frac{26}{7} $$

2. **Divide by 4:**
   
   Dividing by 4 is the same as multiplying by $$ \frac{1}{4} $$:
   
   $$ \frac{26}{7} \div 4 = \frac{26}{7} 	imes \frac{1}{4} = \frac{26}{28} $$

3. **Simplify the Fraction:**
   
   Both numerator and denominator can be divided by 2:
   
   $$ \frac{26 \div 2}{28 \div 2} = \frac{13}{14} $$

**Quotient:** $$ \frac{13}{14} $$
The quotient is $$ \frac{13}{14} $$.

(4) Find the quotient.

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