13/3 as a Decimal

Answer

13/3 in decimals can be written as 4.3333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 13/3 in decimal, we will use the division method. Here, 13 is larger than 3, so 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 (13) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 13 by 3. 3 goes into 13 four times (3 × 4 = 12). Write 4 in the quotient place and subtract 12 from 13, which gives 1.

Step 3: Bring down a 0 in the dividend place, making it 10.

Step 4: Divide 10 by 3. 3 goes into 10 three times (3 × 3 = 9). Write 3 in the quotient place and subtract 9 from 10, which gives 1.

Step 5: Repeat the process by bringing down another 0, making 10 again, and continue dividing. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 13/3 as a decimal will be 4.3333……

• 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 in which one or more digits repeat infinitely.  This content maintains the structure of the original while focusing on the new topic of converting 13/3 into a decimal.