23/50 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 from the whole. It has two parts: numerator (the number on the top), here 23, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole; here, it is 50. 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 23/50 as a decimal?

$23/50 as a decimal$

Answer

23/50 in decimals can be written as 0.46. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 23/50 in decimal, we will use the division method. Here, 23 is smaller than 50, so we will perform long division to convert it into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (50) will be the divisor.

Step 2: As 23 is smaller than 50, we can't divide directly, so we take the help of decimals. We will add a decimal point and a zero to the dividend, making it 230.

Step 3: Now, 230 can be divided by 50. Let's see how many times 50 fits into 230.

Step 4: 50 goes into 230 four times (50 × 4 = 200). We write 4 in the quotient place and subtract 200 from 230, giving us a remainder of 30.

Step 5: Bring down another 0 to make it 300 and repeat the division process.

Step 6: 50 goes into 300 six times (50 × 6 = 300). We write 6 in the quotient place, and the remainder is 0. As there is no remainder, we stop here.

The result for 23/50 as a decimal is 0.46.