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 the whole number (12) and keep the denominator (8) the same. This gives us 36/8.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 4.
36/8 ÷ 4/4 = (36 ÷ 4)/(8 ÷ 4) = 9/2.
Finally, we can convert the improper fraction 9/2 into a mixed number by dividing the numerator by the denominator:
9 ÷ 2 = 4 remainder 1.
Therefore, the final answer is:
9/2 is equivalent to 4 1/2.
To multiply fractions, you multiply the numerators and multiply the denominators.
So, (3/8) * 12 = (3 * 12) / (8) = 36/8
To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
36 divided by 4 is 9, and 8 divided by 4 is 2.
Therefore, the simplified fraction is 9/2.
To convert the improper fraction 9/2 to a mixed number, divide the numerator (9) by the denominator (2) and write the quotient as the whole number. The remainder becomes the numerator of the fraction, and the denominator remains the same.
9 divided by 2 is 4 with a remainder of 1.
So, the mixed number representation is 4 1/2.
To multiply fractions, you simply multiply the numerators together and the denominators together. In this case, you multiply 3/8 by 12.
Step 1: Multiply the numerators: 3 * 12 = 36.
Step 2: Multiply the denominators: 8 * 1 = 8.
So the product of 3/8 and 12 is 36/8.
To simplify this fraction, you need to reduce it to its simplest form. Both 36 and 8 are divisible by 4. Dividing both the numerator and denominator by 4, you get:
36 ÷ 4 = 9
8 ÷ 4 = 2
So, the simplified fraction is 9/2.
To convert it to a mixed number, you divide the numerator (9) by the denominator (2). The quotient becomes the whole number, and the remainder becomes the numerator of the fraction part.
9 ÷ 2 = 4 remainder 1
Therefore, the mixed number is 4 and 1/2.