9 13/16 as a Decimal

Answer

9 13/16 in decimals can be written as 9.8125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 9 13/16 into decimal, we will first convert the fractional part 13/16 into a 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 (16) will be taken as the divisor.

Step 2: Divide 13 by 16. Since 13 is smaller than 16, it can't be divided directly, so we will use the decimal method.

Step 3: Add a decimal point and zeros to the dividend, making it 130, and add a decimal point in the quotient place.

Step 4: Divide 130 by 16. The closest multiple is 16 × 8 = 128. Write 8 in the quotient place and subtract 128 from 130, giving 2.

Step 5: Bring down another 0, making it 20, and repeat the division process. Divide 20 by 16, which goes 1 time (16 × 1 = 16). Subtract 16 from 20, giving 4.

Step 6: Bring down another 0, making it 40, and repeat. Divide 40 by 16, which goes 2 times (16 × 2 = 32). Subtract 32 from 40, giving 8.

Step 7: Bring down another 0, making it 80, and repeat. Divide 80 by 16, which goes 5 times (16 × 5 = 80). The remainder is 0, ending the division. Hence, 13/16 as a decimal is 0.8125.

Adding this to the whole number 9 gives us 9.8125.

• Mixed Number: A number consisting of a whole number and a fraction.
   
• 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.