16 3/8 as a Decimal

Answer

16 3/8 in decimals can be written as 16.375. It is a terminating decimal, showing it will not repeat further.

Explanation

To get 16 3/8 in decimal, we will convert the fraction part 3/8 into decimal form. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 3 by 8. Since 3 is smaller than 8, we need to use the decimal method. Add a decimal point in the quotient and make 3 as 30.

Step 3: Divide 30 by 8. The nearest multiple of 8 is 24 (8 × 3 = 24), so we write 3 in the quotient place and subtract 24 from 30, giving the remainder 6.

Step 4: Bring down another 0, making it 60. Divide 60 by 8, which gives 7 times as 56. Write 7 in the quotient and subtract 56 from 60, leaving a remainder of 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 8, which gives 5 times as 40. Write 5 in the quotient. The remainder becomes 0, and the division ends here. Thus, 3/8 in decimal is 0.375.

Adding this to the whole number 16, the answer for 16 3/8 as a decimal will be 16.375.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.