Question
Multiply. \[ -\frac{3}{5} \cdot(-7) \] Write your answer in simplest form.
Ask by Medina Guzman. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The product is \(\frac{21}{5}\) or \(4\,\frac{1}{5}\).
Solution
To multiply \(-\frac{3}{5}\) by \(-7\), follow these steps:
\[
-\frac{3}{5} \times (-7) = \frac{3}{5} \times 7 = \frac{21}{5}
\]
So, the product in its simplest form is:
\[
\frac{21}{5}
\]
You can also express it as a mixed number:
\[
4\,\frac{1}{5}
\]
**Final Answer:** \(\frac{21}{5}\) or \(4\,\frac{1}{5}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the expression \(-\frac{3}{5} \cdot(-7)\), we first look at the two negative signs which cancel each other out, leading us to a positive result. Now we multiply the absolute value of the fraction by 7: \[ \frac{3}{5} \cdot 7 = \frac{3 \cdot 7}{5} = \frac{21}{5} \] Thus, the answer in simplest form is: \[ \frac{21}{5} \]
