Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10 . Write the answer in simplest form.

1 answer

To multiply the fractions −2/5 and 3/10, we can multiply the numerators and the denominators.

So, multiplying the numerators (-2) and (3) gives -2 * 3 = -6, and multiplying the denominators (5) and (10) gives 5 * 10 = 50.

Therefore, the product of -2/5 and 3/10 is -6/50.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor. The greatest common divisor of 6 and 50 is 2.

Dividing -6 by 2 gives -6/2 = -3, and dividing 50 by 2 gives 50/2 = 25.

So, the simplified form of -6/50 is -3/25.