Multiply 4/9
by −3
. Write the answer as a mixed number in simplest form.(1 point)
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.
To multiply 4/9 by -3, follow these steps:
Step 1: Multiply the numerators of the fractions together:
4 * -3 = -12
Step 2: Multiply the denominators of the fractions together:
9 * 1 = 9
Step 3: Write the result as a fraction with the product of the numerators as the new numerator and the product of the denominators as the new denominator:
-12/9
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3 in this case:
-12/9 ÷ 3/3 = -4/3
So, the answer is -4/3 in simplest form, which can also be written as -1 1/3 as a mixed number.
To multiply fractions, you multiply the numerators together and then the denominators together.
So, let's multiply 4/9 by -3:
(4/9) * (-3)
The numerator will be 4 * -3 = -12
And the denominator will be 9 * 1 = 9
So, the result is -12/9.
To simplify the fraction to its simplest form, we need to reduce the numerator and denominator to their lowest terms.
The greatest common divisor (GCD) of -12 and 9 is 3.
Dividing both the numerator and denominator by 3, we get:
-12/9 = (-12 ÷ 3) / (9 ÷ 3) = -4/3
Now, in simplest form, the answer is -4/3.
But since the question wants the answer in mixed number form, we need to convert the improper fraction -4/3 into a mixed number.
To convert an improper fraction to a mixed number, divide the numerator by the denominator.
-4 divided by 3 is -1, with a remainder of -1.
So, the mixed number form of -4/3 is -1 1/3.
Therefore, the final answer, written as a mixed number in simplest form, is -1 1/3.