13/12 as a Decimal

Answer

13/12 in decimals can be written as 1.08333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 13/12 in decimal, we will use the division method. Here, 13 is larger than 12, so we proceed with the division 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 (12) will be taken as the divisor.

Step 2: Divide 13 by 12. The whole number part of the quotient is 1.

Step 3: Subtract 12 from 13, which leaves a remainder of 1.

Step 4: Add a decimal point in the quotient place and bring down a 0, making it 10.

Step 5: 10 is not a multiple of 12, so we look for how many times 12 fits into 10, which is 0. Bring down another 0, making it 100.

Step 6: 12 goes into 100 eight times (12 × 8 = 96). Subtract 96 from 100 to get a remainder of 4.

Step 7: Bring down another 0, making it 40. 12 goes into 40 three times (12 × 3 = 36). Subtract 36 from 40 to get a remainder of 4.

Step 8: Bring down another 0, making it 40, and repeat the division process. The division process continues, we don't get the remainder as 0, this process is called a recurring decimal.

The answer for 13/12 as a decimal will be 1.08333...

• 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 the same sequence of digits infinitely.