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20)
What is the value of the expression 6 3/4(-11.5)
A) 77 5/8
B) 69 3/4
C) -77 5/8
D) -69 3/4

Answer :

altavistard

Answer:

-77.625

Step-by-step explanation:

I'm assuming you meant (6 3/4)(-11.5).  If that's the case, then:

Convert 6 3/4 into a mixed number with decimal fraction:  6.75.

Then multiply this 6.75 by (-11.5).  Using a calculator, we get:

-77.625

The value of the expression is -77 5/8

In order to determine the value of the expression, we are to multiply[tex]6\frac{3}{4} by -11.5[/tex]

In order to do this, we are to convert the mixed fraction and the decimal to improper fractions

To convert -11.5 to an improper fraction, -11.5 has to be converted to a mixed fraction first

Remember that 0.5 = [tex]\frac{1}{2}[/tex]

The decimal now becomes [tex]-11\frac{1}{5}[/tex]

When converted to an improper fraction,  [tex]6\frac{3}{4} becomes \frac{27}{4}[/tex] and [tex]-11\frac{1}{2} becomes -\frac{23}{2}[/tex]

[tex]\frac{27}{4}[/tex] x [tex]-\frac{23}{2}[/tex] = [tex]-\frac{621}{8}[/tex]

converting to mixed fraction, the number becomes -77 5/8

To learn more about fractions, please check: https://brainly.com/question/21449807?referrer=searchResults

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