Multiply 3/8 times 12. Write the answer in simplest form and convert to a mixed number.(1 point)
To multiply 3/8 by 12, we can multiply the numerator (3) by 12 and leave the denominator (8) unchanged:
3/8 * 12 = (3 * 12)/8 = 36/8
To simplify 36/8, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 4:
36/8 = (36 ÷ 4)/(8 ÷ 4) = 9/2
To convert 9/2 to a mixed number, we divide the numerator (9) by the denominator (2) to get the whole number part, and the remainder becomes the numerator of the fractional part:
9 ÷ 2 = 4 with a remainder of 1
Therefore, 9/2 as a mixed number is 4 1/2.
To multiply 3/8 by 12, follow these steps:
Step 1: Multiply the numerators (top numbers) together: 3 x 12 = 36.
Step 2: Multiply the denominators (bottom numbers) together: 8 x 1 = 8.
Step 3: Write the answer as a fraction by using the product of the numerators as the new numerator and the product of the denominators as the new denominator: 36/8.
Step 4: Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 4: 36/8 = (36 ÷ 4) / (8 ÷ 4) = 9/2.
To convert the fraction 9/2 to a mixed number (a whole number and a fraction part), divide the numerator (9) by the denominator (2):
9 ÷ 2 = 4 with a remainder of 1.
Therefore, 9/2 is equal to 4 1/2 in mixed number form.
To multiply 3/8 by 12, you can follow these steps:
Step 1: Multiply the numerator (top number) of the fraction by the whole number (12).
3 x 12 = 36
Step 2: Write the product (36) over the denominator (bottom number) of the fraction.
The resulting fraction is 36/8.
Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
36 ÷ 4 / 8 ÷ 4 = 9/2
To convert the simplified fraction to a mixed number, divide the numerator (9) by the denominator (2). The quotient is the whole number, and any remainder becomes the numerator of the fraction.
9 ÷ 2 = 4 with a remainder of 1
So, the answer is 4 1/2.