6/21 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 (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 21. 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 that to the right represents the fractional part.

What is 6/21 as a decimal?

$6/21 as a decimal$

Answer

6/21 in decimals can be written as 0.2857. It is a repeating decimal, showing a pattern in its digits.

Explanation

To convert 6/21 into a decimal, we will use the division method. Here, as 6 is smaller than 21, we will take advantage of the decimal method, which will give us 0.2857. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (21) will be taken as the divisor.

Step 2: As 6 is smaller than 21, it can't be divided without a remainder, so we will use 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 21. Let's see how many times 21 goes into 60.

Step 4: 60 is not a multiple of 21, so we will find the nearest number which is 21 × 2 = 42. We will write 2 in the quotient place and subtract 42 from 60, giving 18.

Step 5: Bring down another 0 in the dividend place, making 18 into 180, and then repeat the division process.

Step 6: 21 goes into 180 eight times (21 × 8 = 168), so we write 8 in the quotient and subtract 168 from 180, giving 12.

Step 7: Bring down another 0, making it 120. 21 goes into 120 five times (21 × 5 = 105), so we write 5 in the quotient and subtract 105 from 120, giving 15.

Step 8: Bring down another 0, making it 150. 21 goes into 150 seven times (21 × 7 = 147), so we write 7 in the quotient and subtract 147 from 150, giving 3.

Step 9: Continue the process as needed to see the repeating pattern.

The answer for 6/21 as a decimal will be 0.2857...