6/8 as a Decimal

Answer

6/8 in decimals can be written as 0.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 6/8 into a decimal, we will use the division method. Here, as 6 is smaller than 8, we will use the decimal method, which will give us 0.75. Let's look at the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: As 6 is smaller than 8, it can't be divided as a whole number, so we will use decimals. We will add a decimal point in the quotient place and a zero to the dividend, making it 60.

Step 3: Now that it is 60, we can divide it by 8. Let's see how many times 8 fits into 60.

Step 4: 8 × 7 = 56, which is the nearest multiple of 8 less than 60. We will write 7 in the quotient place, subtract 56 from 60, which gives us 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and then continue the division process.

Step 6: 8 × 5 = 40, which fits exactly. Subtract 40 from 40 to get a remainder of 0. The division process results in a terminating decimal.

The answer for 6/8 as a decimal is 0.75.

• 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.