dondo76
Answered

Simplify: [tex]$2 \div 2 \frac{1}{5}$[/tex]

A. [tex]$\frac{10}{11}$[/tex]

B. [tex][tex]$4 \frac{8}{9}$[/tex][/tex]

C. [tex]$4 \frac{2}{5}$[/tex]

D. [tex]7[/tex]



Answer :

GinnyAnswer
To simplify [tex]\(2 \div 2 \frac{1}{5}\)[/tex], follow these steps:

1. Convert the mixed number to an improper fraction:
[tex]\[ 2 \frac{1}{5} = 2 + \frac{1}{5} = \frac{10}{5} + \frac{1}{5} = \frac{11}{5} \][/tex]

2. Rewrite the division as a multiplication by the reciprocal:
[tex]\[ 2 \div \frac{11}{5} = 2 \times \frac{5}{11} \][/tex]

3. Multiply the fractions:
[tex]\[ 2 \times \frac{5}{11} = \frac{2 \times 5}{11} = \frac{10}{11} \][/tex]

So, the simplified result of [tex]\(2 \div 2 \frac{1}{5}\)[/tex] is:
[tex]\[ \frac{10}{11} \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{\frac{10}{11}} \][/tex]

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