3/ 8 as a Decimal

Answer

3/8 as a decimal can be written as 0.375. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To convert 3/8 into a decimal, we will use the division method. Since 3 is smaller than 8, we will use the decimal method to find the decimal equivalent. 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: As 3 is smaller than 8, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, which makes 3 as 30, and add a decimal point in the quotient place.

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

Step 4: 8 goes into 30 three times, so 3 is placed in the quotient. 3 × 8 = 24, so we subtract 24 from 30, leaving us with a remainder of 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and repeat the division process. 8 goes into 60 seven times, giving us 56 when multiplied. Subtract 56 from 60 to get a remainder of 4.

Step 6: Bring down another 0, making it 40. 8 goes into 40 five times exactly, giving us 40. Subtract 40 from 40 to get a remainder of 0. The division process ends here, leading to a terminating decimal.

The answer for 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 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.