Multiply 3/8 times 12. Write the answer in simplest form and convert to a mixed number
To multiply 3/8 times 12, you can multiply the numerators (3) and denominators (8):
(3/8) * 12 = (3 * 12)/(8 * 1) = 36/8
To simplify the result, you can divide the numerator and denominator by their greatest common divisor, which is 4:
36/8 = (36/4) / (8/4) = 9/2
To convert 9/2 to a mixed number, you divide the numerator (9) by the denominator (2):
9 / 2 = 4 remainder 1
So, the answer in mixed number form is 4 1/2.
To multiply 3/8 by 12, we can set up the equation as follows:
(3/8) * 12
To multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, we have:
(3 * 12) / (8 * 1)
Which simplifies to:
36/8
To convert this fraction to simplest form, we divide the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 36 and 8 is 4. So, we divide both numbers by 4:
(36/4) / (8/4) = 9/2
Thus, the simplified form of 3/8 multiplied by 12 is 9/2.
To convert this improper fraction to a mixed number, we divide the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the numerator of the fraction part.
9 divided by 2 is 4 with a remainder of 1. So, the mixed number is:
4 1/2
To multiply 3/8 times 12, you follow these steps:
Step 1: Multiply the numerator (top number) of the fraction by the whole number.
In this case, 3/8 * 12 = (3 * 12)/8.
Step 2: Multiply the numerator and the whole number, which gives you 36.
So, the equation becomes 36/8.
Step 3: Simplify the fraction.
Both 36 and 8 are divisible by 4, so you can divide both the numerator and the denominator by 4.
36/8 simplifies to 9/2.
Step 4: Convert to a mixed number (if needed).
To convert the improper fraction 9/2 to a mixed number, you divide the numerator by the denominator.
9 divided by 2 equals 4 with a remainder of 1.
So, the mixed number for 9/2 is 4 1/2.
Therefore, 3/8 times 12 is equal to both 9/2 and 4 1/2.