9/16 as a Decimal

Answer

9/16 in decimals can be written as 0.5625. It is a terminating decimal, meaning the division process ends.

Explanation

To convert 9/16 to a decimal, we will use the division method. Here, as 9 is smaller than 16, we will use the decimal method, which will give us 0.5625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (16) will be the divisor.

Step 2: As 9 is smaller than 16, it can't be divided directly, so we add a decimal point in the quotient place and append 0 to the dividend, making it 90.

Step 3: Divide 90 by 16. The closest multiple of 16 to 90 is 5 × 16 = 80.

Step 4: Write 5 in the quotient place and subtract 80 from 90, leaving a remainder of 10.

Step 5: Bring down another 0 in the dividend place, making it 100. Now divide 100 by 16.

Step 6: The closest multiple of 16 to 100 is 6 × 16 = 96. Write 6 in the quotient, subtract 96 from 100, leaving 4.

Step 7: Bring down another 0, making it 40. Divide 40 by 16, closest multiple is 2 × 16 = 32.

Step 8: Write 2 in the quotient, subtract 32 from 40, leaving 8.

Step 9: Bring down another 0, making it 80. Divide 80 by 16, closest multiple is 5 × 16 = 80.

Step 10: Write 5 in the quotient, subtract 80 from 80 leaving 0. The division process ends with no remainder. 

The answer for 9/16 as a decimal is 0.5625.

• 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.