Question

an expression is given.
$-\frac{3}{7} cdot \frac{5}{7}$
what is the value of the expression?
a $\frac{3}{5}$
b $\frac{15}{49}$
c $-\frac{3}{5}$
d $-\frac{15}{49}$

Explanation:

Step1: Multiply the numerators

To multiply the fractions \(-\frac{3}{7} \cdot \frac{5}{7}\), we first multiply the numerators: \(3 \times 5 = 15\). Since there is a negative sign in front of the first fraction, the product of the numerators will be \(-15\).

Step2: Multiply the denominators

Next, we multiply the denominators: \(7 \times 7 = 49\).

Step3: Combine the results

Putting the results of the numerator and denominator together, we get \(\frac{-15}{49}\) or \(-\frac{15}{49}\).

Answer:

D. \(-\frac{15}{49}\)