9/25 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 from the whole. It has two parts, numerator (the number on the top) here, 9 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 25. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 9/25 as a decimal?

$9/25 as a decimal$ Answer

9/25 in decimals can be written as 0.36. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 9/25 in decimal, we will use the division method. 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 (25) will be taken as the divisor.

Step 2: Divide 9 by 25. Since 9 is smaller than 25, we will directly use the decimal method.

Step 3: Add a decimal point and a zero to the dividend, making it 90.

Step 4: Divide 90 by 25 to find how many times 25 fits into 90.

Step 5: 25 goes into 90 three times (25 × 3 = 75), leaving a remainder of 15.

Step 6: Bring down another zero, making it 150, and divide again by 25.

Step 7: 25 goes into 150 six times (25 × 6 = 150), leaving no remainder. Thus, the division process terminates here.

The answer for 9/25 as a decimal will be 0.36.

Important Glossaries for 9/25 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.