3/8 as a Decimal

Answer

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

Explanation

To get 3/8 in decimal, we will use the division method. 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. As 3 is smaller than 8, we will use the decimal method, adding a decimal point in the quotient place and a 0 to the dividend, making 3 as 30.

Step 3: Now divide 30 by 8. Let's see how many times 8 fits into 30.

Step 4: 8 goes into 30 three times, which is 3 × 8 = 24. Write 3 in the quotient place and subtract 24 from 30, which gives 6.

Step 5: Bring down another 0, making it 60, then divide 60 by 8.

Step 6: 8 goes into 60 seven times, which is 7 × 8 = 56. Write 7 in the quotient place and subtract 56 from 60, which gives 4.

Step 7: Bring down another 0, making it 40, then divide 40 by 8. Step 8: 8 goes into 40 five times, which is 5 × 8 = 40. Write 5 in the quotient place. Now, there is no remainder, so the division process ends.

The answer for 3/8 as a decimal will be 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.