Question

Write 3 and 2 fifths as an improper fraction and as a mixed number. b. 16 : a. C. 13 d. 17.2 Please select the best answer from the choices provided|| A B С D

Answer 1

Given the fraction 3 and 2 fifths,

`2\text{fifths}=(2)/(5)`

Converting 3 and 2/5 to mixed fraction,

Mixed fraction is the combination of a whole number and a proper fractiion.

A proper fraction is the fraction with the numerator smaller than the denominator.

Therefore,

`\begin{gathered} 3\text{ and}\frac{\text{ 2}}{5}\text{ to mixed fraction will be,} \\ 3+(2)/(5)=3(2)/(5) \end{gathered}`

Hence, 3 and 2/5 to mixed fraction is,

`=3(2)/(5)`

Let us now convert 3 2/5 to improper fraction,

`\begin{gathered} 3(2)/(5)=((3*5)+2)/(5) \\ =(15+2)/(5)=(17)/(5) \end{gathered}`

Hence, 3 2/5 to improper fraction is 17/5.

Option D is correct answer.