2 6/7 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 (number on the top) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 2 6/7 as a decimal?

$2 6/7 as a decimal$

Answer

2 6/7 in decimals can be written as 2.857142…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 2 6/7 in decimal, we will use the division method for the fractional part 6/7. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because numerator (6) will be taken as dividend and denominator (7) will be taken as divisor.

Step 2: As 6 is smaller than 7, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 6 into 60 and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 7. Let's see how many times 7 fits into 60.

Step 4: 60 is not a multiple of 7, so we will look for the nearest number: 7 × 8 = 56. We will write 8 in the quotient place and subtract 56 from 60, giving 4.

Step 5: Bring down another 0 in the dividend place, making 4 into 40, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2 6/7 as a decimal will be 2.857142….