8 1/6 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top), here 1 represents how many parts out of the whole, and the denominator (number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 8 1/6 as a decimal?

$8 1/6 as a decimal$

Answer

8 1/6 in decimals can be written as 8.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

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

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

Step 2: Convert the fraction 1/6 to a decimal using the division method.

Step 3: As 1 is smaller than 6, we will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 4: Now that it is 10, we divide it by 6. The nearest multiple of 6 is 6 × 1 = 6. We write 1 in the quotient place and subtract 6 from 10, giving 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and divide by 6. The nearest multiple is 6 × 6 = 36. Write 6 in the quotient place and subtract 36 from 40, giving 4.

Step 6: Repeat the division process. This process is called a recurring decimal. The answer for 1/6 as a decimal is 0.1666...

Step 7: Add this decimal to the whole number 8.

Resulting in 8.1666...