1 5/6 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 of the whole. It has two parts: the numerator (the number on the top) here, 11, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole; here, it is 6. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 5/6 as a decimal?

$1 5/6 as a decimal$ Answer

1 5/6 in decimals can be written as 1.8333… It is a recurring decimal, showing that it will repeat the same digit infinitely.

Explanation

To get 1 5/6 in decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction part. Here, the whole number is 1, and the fraction is 5/6.

Step 2: Convert the fractional part (5/6) into a decimal. The numerator (5) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 3: Since 5 is smaller than 6, we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50 and add a decimal point in the quotient place.

Step 4: Divide 50 by 6. 6 goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient place and subtract 48 from 50 to get 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 6. 6 goes into 20 three times (6 × 3 = 18). Write 3 in the quotient place and subtract 18 from 20 to get 2.

Step 6: This process continues, showing that the decimal is recurring.

The answer for 1 5/6 as a decimal will be 1.8333...