2 2/7 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, 2 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 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 2/7 as a decimal?

$2 2/7 as a decimal$

Answer

2 2/7 as a decimal can be written as 2.285714... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 2 2/7 to a decimal, we first convert the fractional part 2/7 into a decimal. We use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: As 2 is smaller than 7, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20, we can divide it by 7. Let's see how many times 7 goes into 20.

Step 4: 20 is not a multiple of 7, so we will look for the nearest number that is 7 × 2 = 14. We will write 2 in the quotient place and subtract 14 from 20, which gives 6.

Step 5: Bring down another 0 in the dividend place to make 6 as 60 and then repeat the division process. This process continues, and we get 2/7 as 0.285714..., a recurring decimal.

So, 2 2/7 as a decimal will be 2.285714...