Question

question
perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
$-\frac{2}{7} cdot -\frac{2}{5}$

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions \(-\frac{2}{7}\) and \(-\frac{2}{5}\), we multiply the numerators together and the denominators together. The product of two negative numbers is positive. So, \((-2)\times(-2) = 4\) and \(7\times5=35\).

$$ -\frac{2}{7}\cdot-\frac{2}{5}=\frac{(-2)\times(-2)}{7\times5}=\frac{4}{35} $$

Step2: Check for simplification

The greatest common divisor (GCD) of 4 and 35 is 1, since the factors of 4 are 1, 2, 4 and the factors of 35 are 1, 5, 7, 35. So, the fraction \(\frac{4}{35}\) is already in its simplest form.

Answer:

\(\frac{4}{35}\)