13/16 as a Decimal

Answer

13/16 in decimals can be written as 0.8125. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 13/16 in decimal, we will use the division method. Here, as 13 is smaller than 16, we will proceed with the division method to find the decimal representation. 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 (16) will be taken as the divisor.

Step 2: As 13 is smaller than 16, it can't be divided directly. We will add a decimal point in the quotient and add 0 to the dividend, making it 130.

Step 3: Now that it is 130, we divide it by 16.

Step 4: 16 goes into 130 eight times, as 16 × 8 = 128. We write 8 in the quotient place and subtract 128 from 130, giving 2.

Step 5: Bring down another 0 in the dividend place to make it 20, and divide by 16.

Step 6: 16 goes into 20 once, as 16 × 1 = 16. Write 1 in the quotient and subtract 16 from 20, giving 4.

Step 7: Bring down another 0 to make it 40, and divide by 16.

Step 8: 16 goes into 40 two times, as 16 × 2 = 32. Write 2 in the quotient and subtract 32 from 40, giving 8.

Step 9: Bring down another 0 to make it 80, and divide by 16.

Step 10: 16 goes into 80 five times, as 16 × 5 = 80. Write 5 in the quotient and subtract 80 from 80, leaving 0.

The division process ends here, giving the answer for 13/16 as a decimal, which is 0.8125.

• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.