13/7 as a Decimal

Answer

13/7 in decimals can be written as approximately 1.857142857... It is a recurring decimal, meaning it will repeat a sequence of digits infinitely.

Explanation

To convert 13/7 into a decimal, we will use the division method. Here, 13 is larger than 7, 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 (7) will be taken as the divisor.

Step 2: Divide 13 by 7. 7 goes into 13 once, so we place 1 in the quotient place and subtract 7 from 13 to get 6.

Step 3: Bring down a 0 to make it 60. Divide 60 by 7, which is 8 times, giving us 56. Subtract 56 from 60 to get 4.

Step 4: Bring down another 0 to make it 40. Divide 40 by 7, which is 5 times, giving us 35. Subtract 35 from 40 to get 5.

Step 5: Bring down another 0 to make it 50. Divide 50 by 7, which is 7 times, giving us 49. Subtract 49 from 50 to get 1.

Step 6: Continue this process, and you will see the decimal repeats as 1.857142857...

This process shows that 13/7 is a recurring decimal.

• 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.