Respuesta :

the answer is 90/91. 6 1/2 - 7/8 divided by 5 11/16. Turn 6 1/2 and 5 11/16 to an improper fraction. 6 1/2= 13/2. 5/11= 91/16. Then you have to get each fraction to have equal denominators. All of them can have a denominator of 16. So you times everything to get a denominator of 16. 13/2= 104/16. 7/8=14/16. 91/16 stays the same because the denominator is already 16. Next you subtract 104/16 and 14/16 and get 45/8.( because you need to put it in simplest form.) Lastly you divide 45/8 by 91/16 and get 90/91.

[tex]\frac{6 \frac{1}{2} - \frac{7}{8}}{ \frac{11}{16} }[/tex]

Start by subtracting the terms in the numerator.
To do this you have to have the same denominator.
[tex] \frac{13}{2} = \frac{52}{8}[/tex]

[tex] \frac{52}{8} - \frac{7}{8} = \frac{45}{8} [/tex]

now divide.  Division is multiplying by the reciprocal so:
[tex]\frac{\frac{45}{8}}{ \frac{11}{16}} = {\frac{45}{8} * \frac{16}{11} = \frac{90}{11} = 8 \frac{2}{11} [/tex]
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