16/21 as a Decimal

Answer

16/21 in decimals can be written as approximately 0.761904. It is a repeating decimal, showing a repeating sequence of digits.

Explanation

To get 16/21 in decimal, we will use the division method. Here, as 16 is smaller than 21, we will start the division to convert it into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (21) will be taken as the divisor.

Step 2: Since 16 is smaller than 21, we will place a decimal point in the quotient and add a zero to 16, making it 160.

Step 3: Divide 160 by 21. The closest multiple is 21 × 7 = 147. We will write 7 in the quotient place and subtract 147 from 160, which gives 13.

Step 4: Bring down another 0, making it 130, and divide by 21 again. The closest multiple is 21 × 6 = 126. Write 6 in the quotient and subtract 126 from 130, giving 4.

Step 5: Continue this process, bringing down zero, dividing, and subtracting. The sequence repeats, showing a recurring decimal.

The answer for 16/21 as a decimal is approximately 0.761904.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.