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Use fraction bars and the rules of dividing signed numbers to divide.

[tex]\[
-\frac{15}{5} + \frac{3}{5}
\][/tex]

Options:
A. [tex]\(-\frac{18}{5}\)[/tex]
B. [tex]\(-9\)[/tex]
C. [tex]\(-\frac{12}{5}\)[/tex]
D. [tex]\(-5\)[/tex]

Sagot :

GinnyAnswer
To solve the division problem [tex]$\frac{-15/5}{3/5}$[/tex] step-by-step:

1. Simplify the dividend and the divisor:
- The dividend is [tex]\(\frac{-15}{5}\)[/tex]. Simplifying this fraction results in [tex]\(-3\)[/tex] because [tex]\(\frac{-15}{5} = -3\)[/tex].
- The divisor is [tex]\(\frac{3}{5}\)[/tex].

2. Set up the division problem:
- We need to divide [tex]\(-3\)[/tex] by [tex]\(\frac{3}{5}\)[/tex].

3. Convert the division of fractions to multiplication:
- Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of [tex]\(\frac{3}{5}\)[/tex] is [tex]\(\frac{5}{3}\)[/tex].
- So, [tex]\(\frac{-3}{\frac{3}{5}} = -3 \times \frac{5}{3}\)[/tex].

4. Perform the multiplication:
- Multiply [tex]\(-3\)[/tex] by [tex]\(\frac{5}{3}\)[/tex]:
[tex]\[ -3 \times \frac{5}{3} = -3 \times \frac{5}{3} = -\frac{15}{3} \][/tex]

5. Simplify the resulting fraction:
- Simplify [tex]\(-\frac{15}{3}\)[/tex]:
[tex]\[ -\frac{15}{3} = -5 \][/tex]

Thus, the result of dividing [tex]\(\frac{-15}{5}\)[/tex] by [tex]\(\frac{3}{5}\)[/tex] is [tex]\(-5\)[/tex].

So the correct answer is [tex]\(-5\)[/tex].
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