1 1/6 as a Decimal

Professor Greenline Explaining Math Concepts

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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 and denominator. The numerator (the number on the top) represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1 1/6 as a decimal?

$1 1/6 as a decimal$ Answer

1 1/6 as a decimal can be written as 1.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1 1/6 in decimal form, we will convert the fractional part 1/6 into decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fractional part 1/6. The numerator (1) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 2: As 1 is smaller than 6, it can't be divided, so we will use decimals. We add a decimal point in the quotient and append a 0 to the dividend, making it 10.

Step 3: Now, divide 10 by 6. 6 goes into 10 once, so we write 1 in the quotient and subtract 6 from 10, leaving 4.

Step 4: Bring down another 0, making it 40. Divide 40 by 6, which goes 6 times (6 × 6 = 36), leaving 4.

Step 5: Repeat the process of bringing down a 0 and dividing. The remainder remains 4, causing the decimal to recur.

So, 1 1/6 as a decimal is 1.1666...