Multiply 4/9 by -3 write as a mixed number in simplest form
To multiply 4/9 by -3, we multiply the numerators and denominators:
(4/9) * (-3) = -12/9
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
-12/9 = -4/3
To write this as a mixed number, we can divide the numerator (which is -4) by the denominator (which is 3) and write the quotient as a whole number and the remainder as a fraction.
-4 ÷ 3 = -1 remainder 1
Therefore, the mixed number is -1 1/3.
To multiply 4/9 by -3, follow these steps:
Step 1: Multiply the numerators (top numbers) together: 4 x -3 = -12.
Step 2: Multiply the denominators (bottom numbers) together: 9 x 1 = 9.
Step 3: Write the result as a fraction: -12/9.
Step 4: Simplify the fraction. The greatest common divisor (GCD) of -12 and 9 is 3.
Divide both the numerator and the denominator by 3: -12/3 ÷ 9/3 = -4/3.
Therefore, 4/9 multiplied by -3 as a mixed number in simplest form is -4/3.
To multiply 4/9 by -3 and express the result as a mixed number in simplest form, follow these steps:
Step 1: Multiply the numerator (4) by the whole number (-3).
-3 × 4 = -12
Step 2: Keep the denominator (9) the same.
Step 3: Convert the result from step 1 to an improper fraction.
Since -12 can be written as -12/1, the improper fraction is -12/1.
Step 4: Multiply the denominator (9) by the whole number (-3) from step 1.
-3 × 9 = -27
Step 5: Write the improper fraction from step 3 with the new numerator and the same denominator.
-12/1 × 1/9 = -12/9
Step 6: Simplify the resulting fraction.
To simplify, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 12 and 9 is 3.
-12 ÷ 3 = -4
9 ÷ 3 = 3
Therefore, the simplified fraction is -4/3.
To express this as a mixed number, divide the numerator (-4) by the denominator (3).
Step 7: Divide -4 by 3.
-4 ÷ 3 = -1 remainder 1
The whole number is -1, and the fractional part is 1/3. Thus, the mixed number in simplest form is -1 1/3.