6 1/8 as a Decimal

Answer

6 1/8 in decimal can be written as 6.125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 6 1/8 in decimal, we will convert the fraction part to a decimal and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 6, and the fraction is 1/8.

Step 2: Convert the fraction 1/8 to a decimal using division. Here, 1 is the numerator (dividend), and 8 is the denominator (divisor).

Step 3: As 1 is smaller than 8, we will use a decimal method. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 4: Now, 10 divided by 8 gives 1 with a remainder of 2.

Step 5: Bring down another 0, making it 20. Dividing 20 by 8 gives 2 with a remainder of 4.

Step 6: Bring down another 0, making it 40. Dividing 40 by 8 gives 5 with no remainder. The decimal representation of 1/8 is 0.125. Adding this to the whole number 6 gives 6.125 as the answer.

• 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.