6/21 as a Decimal
2026-02-28 23:35 Diff
https://brightchamps.com/en-us/math/math-questions/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...