Answer:
(2) [tex] \frac{10}{7} [/tex]
Step-by-step explanation:
Given the rational number, [tex] \frac{7}{4} [/tex], the following can be said to be equal to the rational number:
1. [tex] \frac{14}{8} [/tex]
Simplify the fraction
[tex] \frac{2*7}{2*4} [/tex]
[tex] = \frac{7}{4} [/tex]
Therefore, [tex] \frac{14}{8} = \frac{7}{4} [/tex]
3. [tex] \frac{7}{4} = 1.75 [/tex] (using your calculator)
4. [tex] 1\frac{3}{4} [/tex]
Convert from mixed fraction to improper fraction
[tex] 1\frac{3}{4} = \frac{7}{4} [/tex]
[tex] \frac{10}{7} [/tex] ≠ [tex] \frac{7}{4} [/tex]
The answer is (2) [tex] \frac{10}{7} [/tex]