Middle School

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------------------------------------------------ What is the value of the expression [tex]6 \frac{3}{4} \times (-11.5)[/tex]?

A. [tex]77 \frac{5}{8}[/tex]
B. [tex]69 \frac{3}{4}[/tex]
C. [tex]-77 \frac{5}{8}[/tex]
D. [tex]-69 \frac{3}{4}[/tex]

Answer :

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