Respuesta :

Answer:

[tex]5\frac{3}{4}[/tex]

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Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]

And for whole number, add a 1 as the denominator.

[tex]\frac{2}{1}[/tex]

Now, the equation becomes...

[tex]\frac{2~*~23}{1~*~8}[/tex]

[tex]2 * 23 = 46[/tex]

[tex]1 * 8 = 8[/tex]

Convert these two numbers to a fraction.

[tex]46~and~8~-- > ~\frac{46}{8}[/tex]

Simplify 46 over 8 and make it a mixed number.

[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]

why is the denominator 4? we had to simplify 8 using its GCF along with 46

the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.

[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]

now you have [tex]\frac{23}{4}[/tex]

and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]

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