8/14 as a decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: numerator (number on the top) here, 8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 14. 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 8/14 as a decimal?

$8/14 as a decimal$

Answer

8/14 in decimals can be written as 0.571428….. It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.

Explanation

To get 8/14 in decimal form, we will use the division method. Since 8 is smaller than 14, we will use the decimal method, which will give us 0.571428. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (14) will be taken as the divisor.

Step 2: As 8 is smaller than 14, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 8 as 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 14. Let's see how many times 14 goes into 80.

Step 4: 14 times 5 equals 70, which is the closest multiple of 14 less than 80. We will write 5 in the quotient place and subtract 70 from 80 to get 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

The answer for 8/14 as a decimal will be 0.571428……