Question
n 1.5 Homework Question 3, 1.5.23 HW Score: 5\%, 2 of 40 points Points: 0 of 1 Multiply. \[ \left(-\frac{4}{5}\right)\left(-\frac{3}{7}\right) \] \[ \left(-\frac{4}{5}\right)\left(-\frac{3}{7}\right)= \] (Type an integer or a simplified fraction.)
Ask by Lambert Collins. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\left(-\frac{4}{5}\right)\left(-\frac{3}{7}\right)=\frac{12}{35}
\]
Solution
1. Multiply the numerators:
\[
(-4) \times (-3) = 12
\]
2. Multiply the denominators:
\[
5 \times 7 = 35
\]
3. Write the fraction:
\[
\frac{12}{35}
\]
Thus,
\[
\left(-\frac{4}{5}\right)\left(-\frac{3}{7}\right)=\frac{12}{35}
\]
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Simplify this solution Mind Expander
When you multiply two negative fractions, the result will always be positive! So, first, multiply the numerators: \(-4 \times -3 = 12\). Next, multiply the denominators: \(5 \times 7 = 35\). Putting it all together, we get: \[ \left(-\frac{4}{5}\right)\left(-\frac{3}{7}\right) = \frac{12}{35} \] Now, let's simplify if needed! In this case, \(\frac{12}{35}\) is already in its simplest form since 12 and 35 have no common factors besides 1.
