9/16 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 9, represents how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 9/16 as a decimal?

$9/16 as a decimal$ 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.

Important Glossaries for 9/16 as a 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.