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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (-(3)/(4))/(-5) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline−34−5 \frac{-\frac{3}{4}}{-5} \newlineAnswer:

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Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline−34−5 \frac{-\frac{3}{4}}{-5} \newlineAnswer:
  1. Understand the problem: Understand the problem. We need to divide the fraction −34-\frac{3}{4} by −5-5 and simplify the result.
  2. Rewrite the division: Rewrite the division as multiplication.\newlineDividing by a number is the same as multiplying by its reciprocal. So, we can rewrite the expression as:\newline−(34)×(1−5)-\left(\frac{3}{4}\right) \times \left(\frac{1}{-5}\right)
  3. Simplify the expression: Simplify the expression.\newlineNow we multiply the numerators and the denominators separately:\newline(−3)×1=−3(-3) \times 1 = -3\newline4×(−5)=−204 \times (-5) = -20\newlineSo, the expression becomes:\newline−3/−20-3 / -20
  4. Simplify the negative signs: Simplify the negative signs.\newlineA negative divided by a negative is a positive, so:\newline−3/−20=3/20-3 / -20 = 3 / 20
  5. Check for reduction: Check if the fraction can be reduced.\newlineThe numbers 33 and 2020 have no common factors other than 11, so the fraction is already in its simplest form.

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