23/25 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 a whole. It has two parts: the numerator (the number on the top), here 23, representing 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 23/25 as a decimal?

$23/25 as a decimal$

Answer

23/25 as a decimal can be written as 0.92. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 23/25 to a decimal, we use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (23) will be taken as the dividend and the denominator (25) will be taken as the divisor.

Step 2: Divide 23 by 25. Since 23 is smaller than 25, we will add a decimal point in the quotient and make it 230 by adding a zero to the dividend.

Step 3: Now, divide 230 by 25. Determine how many times 25 fits into 230, which is 9 times (since 25 × 9 = 225).

Step 4: Write 9 in the quotient, and subtract 225 from 230, resulting in 5.

Step 5: Bring down another 0, making it 50, and divide by 25. This gives 2 as 25 fits into 50 exactly twice (25 × 2 = 50).

Step 6: Write 2 in the quotient, and subtract 50 from 50, resulting in 0. The division process ends here, as the remainder is 0, making 23/25 a terminating decimal.

The answer for 23/25 as a decimal is 0.92.