13/6 as a Decimal

Answer

13/6 in decimals can be written as 2.16666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 13/6 in decimal, we will use the division method. Here, as 13 is larger than 6, we perform straightforward division to find the decimal. 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 (6) will be taken as the divisor.

Step 2: Divide 13 by 6. 6 goes into 13 two times, so we write 2 in the quotient place.

Step 3: Subtract 12 (6 × 2) from 13, which gives a remainder of 1.

Step 4: Bring down a 0 to make it 10, and add a decimal point in the quotient place.

Step 5: Now, divide 10 by 6. 6 goes into 10 one time, so write 1 in the quotient place.

Step 6: Subtract 6 from 10, which leaves a remainder of 4. Bring down another 0 to make it 40.

Step 7: 6 goes into 40 six times, write 6 in the quotient place, subtract 36 from 40, and you get a remainder of 4.

Step 8: Repeat the process, bringing down 0s and dividing by 6, which will continue indefinitely as a recurring decimal.

The answer for 13/6 as a decimal will be 2.1666……

• 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.