Multiply 4/9

by −3
. Write the answer as a mixed number in simplest form.(1 point)

5 answers

To multiply fractions, we multiply the numerators and multiply the denominators.

The product of 4/9 and -3 is (4/9) * (-3) = -12/9.

To express -12/9 as a mixed number in simplest form, we need to divide the numerator (-12) by the denominator (9).

-12 ÷ 9 = -1 remainder 3.

So, the mixed number in simplest form is -1 3/9. However, we can simplify this fraction further.

Both the numerator and the denominator have a common factor of 3. When we divide both the numerator and the denominator by 3, we get:

-1 3/9 = -1 1/3.

Therefore, the answer in simplest form is -1 1/3.
Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.
To multiply fractions, we multiply the numerators and multiply the denominators.

(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50.

To express -6/50 in simplest form, we need to simplify the fraction.

Both the numerator (-6) and the denominator (50) have a common factor of 2. When we divide both the numerator and the denominator by 2, we get:

-6/50 = -3/25.

Therefore, the answer in simplest form is -3/25.
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and keep the denominator the same.

4 * (-5/8) = -20/8.

To express -20/8 as a mixed number in simplest form, we need to simplify the fraction.

Both the numerator (-20) and the denominator (8) have a common factor of 4. When we divide both the numerator and the denominator by 4, we get:

-20/8 = -5/2.

Therefore, the answer in simplest form as a mixed number is -2 1/2.