Question

level 157
identify $3\frac{2}{5}$ as a fraction greater than 1.
select
a $\frac{13}{5}$
b $\frac{2}{5}$
c $\frac{12}{5}$
d $\frac{17}{5}$

Explanation:

Step1: Recall mixed number to improper fraction conversion

To convert a mixed number \( a\frac{b}{c} \) to an improper fraction, use the formula \( \frac{a\times c + b}{c} \). Here, \( a = 3 \), \( b = 2 \), and \( c = 5 \).

Step2: Apply the formula

Calculate \( 3\times5 + 2 \). First, \( 3\times5 = 15 \), then \( 15 + 2 = 17 \). So the improper fraction is \( \frac{17}{5} \)? Wait, no, wait. Wait, the mixed number is \( 3\frac{2}{5} \)? Wait, no, looking at the options, option D is \( \frac{17}{5} \)? Wait, no, wait, maybe I misread the mixed number. Wait, the problem says \( 3\frac{2}{5} \)? Wait, no, let me check again. Wait, the mixed number is \( 3\frac{2}{5} \)? Wait, no, the options: A is \( \frac{13}{5} \), D is \( \frac{17}{5} \). Wait, maybe the mixed number is \( 3\frac{2}{5} \)? Wait, no, 3 times 5 is 15, plus 2 is 17? Wait, no, 35=15, 15+2=17, so \( 3\frac{2}{5}=\frac{17}{5} \)? But wait, option D is \( \frac{17}{5} \)? Wait, but let me check again. Wait, maybe the mixed number is \( 3\frac{2}{5} \)? Wait, no, maybe I made a mistake. Wait, 35=15, 15+2=17, so \( \frac{17}{5} \) is the improper fraction. Wait, but let's check the options. Option D is \( \frac{17}{5} \), so that's the answer. Wait, but let me confirm the conversion again. Mixed number to improper fraction: multiply the whole number by the denominator, add the numerator, put over the denominator. So \( 3\frac{2}{5} = \frac{3\times5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5} \). So the correct option is D.

Answer:

D. \(\frac{17}{5}\)