Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]
Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.
[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]
Therefore:
[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]
Step 2: Change the division sign to multiplication by taking the reciprocal of 7
[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]