Respuesta :
Answer:
The correct answer is 2 9/14.
Step-by-step explanation:
First, you can rewrite the number:
[tex]2\frac{5}{16} [/tex]
[tex]\frac{5}{16} + \frac{2*16}{16} [/tex]
[tex]\frac{5}{16} + \frac{32}{16} = \frac{37}{16} [/tex]
Now, you have to divide:
[tex]\frac{\frac{37}{16}}{\frac{7}{8}}[/tex] //multiply extreme with extreme and middle with middle.
[tex]\frac{37*8}{16*7}[/tex]
[tex]\frac{296}{112} = \frac{ 148}{56} = \frac{74}{28} = \frac{37}{14}[/tex] //simplify the fraction.
[tex] \frac{37}{14} = \frac{2*14}{14} + \frac{9}{14} = 2\frac{9}{14}[/tex] //rewrite the result.