3/8 inch as a decimal

Answer

3/8 in decimal can be written as 0.375. It is a terminating decimal, meaning it does not repeat the same digit infinitely.

Explanation

To convert 3/8 to a decimal, we will use the division method. Since 3 is smaller than 8, we will use the decimal method to get 0.375. Let's break down the process step by step:

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

Step 2: As 3 is smaller than 8, it can't be divided directly, so we will add a decimal point and 0 to the dividend, making it 30.

Step 3: Now that it is 30, we can divide it by 8. Let's see how many times 8 fits into 30.

Step 4: 8 fits into 30 three times (since 8 × 3 = 24). We write 3 in the quotient place and subtract 24 from 30 to get 6.

Step 5: Bring down another 0 in the dividend place, making it 60. Dividing 60 by 8 gives us 7 (since 8 × 7 = 56). Write 7 in the quotient place and subtract 56 from 60 to get 4.

Step 6: Bring down another 0, making it 40. Divide 40 by 8 to get 5, as 8 × 5 = 40. Subtracting gives 0, completing the division process. The division process ends here, as the remainder is 0.

Hence, 3/8 as a decimal is 0.375.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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.