14/50 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: the numerator (the number on the top), here, 14, 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 14/50 as a decimal?

$14/50 as a decimal$

Answer

14/50 in decimals can be written as 0.28.

Explanation

To get 14/50 in decimal, we will use the division method. Here, as 14 is smaller than 50, we will take help of decimal method which will give us 0.28. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (50) will be taken as the divisor.

Step 2: As 14 is smaller than 50, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 14 as 140 and add a decimal point in the quotient place.

Step 3: Now that it is 140, we can divide it by 50. Let's see how many times 50 makes 140.

Step 4: 140 is not a multiple of 50, so we will look for the nearest number, which is 50 × 2 = 100. We will write 2 in the quotient place and subtract 100 from 140, which gives us 40.

Step 5: Bring down another 0 in the dividend place, making 40 as 400, and then repeat the division process.

Step 6: 400 divided by 50 gives us 8, so we write 8 in the quotient place, and the remainder is 0. The division process ends here as we get the remainder as 0. This is called a terminating decimal.

The answer for 14/50 as a decimal will be 0.28.