16/7 as a Decimal

Answer

16/7 in decimals can be written as 2.285714... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 16/7 in decimal, we will use the division method. Here, as 16 is larger than 7, we can divide directly. 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 (7) will be taken as the divisor.

Step 2: Divide 16 by 7. The whole number part of the quotient is 2.

Step 3: Subtract 14 (2 multiplied by 7) from 16, which gives a remainder of 2.

Step 4: Bring down a zero to make it 20, then divide 20 by 7, which gives 2. The remainder is 6.

Step 5: Bring down another 0 to make it 60, then divide 60 by 7, which gives 8. The remainder is 4.

Step 6: Continue this process, and you will see the sequence 285714 repeating. This process is called a recurring decimal.

The answer for 16/7 as a decimal will be 2.285714...

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