40/3 as a Decimal

Answer

40/3 in decimals can be written as 13.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 40/3 in decimal, we will use the division method. Here, as 40 is larger than 3, we will proceed with the division which will give us 13.3333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (40) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 40 by 3. 3 goes into 40, 13 times as 3 × 13 = 39. We will write 13 in the quotient place.

Step 3: Subtract 39 from 40, which gives 1.

Step 4: Bring down a 0 to make it 10, and continue the division process.

Step 5: 3 goes into 10, 3 times as 3 × 3 = 9. Write 3 in the quotient place and subtract 9 from 10 gives 1.

Step 6: Repeat the division process by bringing down another 0, making it 10 again. The process continues and does not terminate, hence it is a recurring decimal.

The answer for 40/3 as a decimal will be 13.3333……

• 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 that repeats a digit or a sequence of digits infinitely.