14/24 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 (number on the top), here, 14, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 24. 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 14/24 as a decimal?

$14/24 as a decimal$

Answer

14/24 in decimals can be simplified to 0.5833... It is a recurring decimal, showing it will repeat some digits infinitely.

Explanation

To get 14/24 in decimal form, we will use the division method. Here, since 14 is smaller than 24, we will take the help of the decimal method, which will give us 0.5833. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 14/24 to its simplest form, which is 7/12, by dividing both the numerator and the denominator by 2. Now, let's convert 7/12 to a decimal.

Step 2: Identify the numerator and denominator; the numerator (7) will be taken as the dividend, and the denominator (12) will be taken as the divisor.

Step 3: As 7 is smaller than 12, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, making 7 as 70, and add a decimal point in the quotient place.

Step 4: Now that it is 70, we can divide it by 12. Let's see how many times 12 fits into 70.

Step 5: 12 goes into 70 five times (12 × 5 = 60). We will write 5 in the quotient place. Subtract 60 from 70 to get a remainder of 10.

Step 6: Bring down another 0 in the dividend place to make 10 as 100, and then repeat the division process. 12 goes into 100 eight times (12 × 8 = 96). Write 8 in the quotient place. Subtract 96 from 100 to get a remainder of 4.

Step 7: Bring down another 0, making it 40, and divide by 12. 12 goes into 40 three times (12 × 3 = 36). Write 3 in the quotient place. Subtract 36 from 40 to get a remainder of 4.

Step 8: The division process continues, and we don't get the remainder as 0. This process is called recurring decimal.

The answer for 14/24 as a decimal will be 0.5833...