Multiply 4/9 by -3. Write the answer as a mixed number in simplest form.
To multiply fractions, you simply multiply the numerators together and multiply the denominators together.
So, 4/9 * -3 = (4 * -3) / (9 * 1) = -12/9.
To simplify the resulting fraction, you can divide both the numerator and denominator by their greatest common divisor, which in this case is 3.
-12/9 = -4/3.
A mixed number consists of a whole number and a fraction. To convert -4/3 into a mixed number, we divide the numerator (-4) by the denominator (3) and express the quotient as a whole number and a fraction.
-4 ÷ 3 = -1 remainder 1.
Thus, the answer is -1 1/3.
Multiply 2/3 by 1 1/4 . Write the answer in simplest form.
To multiply 4/9 by -3, we can follow these steps:
Step 1: Multiply the numerators (top numbers) together: 4 * -3 = -12.
Step 2: Multiply the denominators (bottom numbers) together: 9 * 1 = 9.
Step 3: Simplify the fraction if necessary. In this case, the fraction -12/9 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
-12 ÷ 3 = -4, and 9 ÷ 3 = 3.
Step 4: Write the simplified fraction as a mixed number. Since -4 is negative, the mixed number will be negative as well. Divide -4 by 3: -4 ÷ 3 = -1 remainder 1.
The mixed number is -1 1/3.
Therefore, 4/9 multiplied by -3, expressed as a mixed number in simplest form, is -1 1/3.
To multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, we have (4/9) * (-3).
First, let's multiply the numerators: 4 * -3 = -12.
Next, we'll multiply the denominators: 9 * 1 = 9.
So, our result is -12/9.
To simplify the fraction to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 12 and 9 is 3.
We'll divide both the numerator and denominator by 3: (-12/3) / (9/3) = -4/3.
Since the numerator is negative, we can write the final answer as a mixed number: -1 1/3.