8/24 as a Decimal

Answer

8/24 in decimals can be simplified first by simplifying the fraction to 1/3, which can then be written as 0.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 8/24 in decimal, we will first simplify the fraction. The greatest common divisor of 8 and 24 is 8. So, 8/24 simplifies to 1/3. Then, we use the division method to convert 1/3 into a decimal. As 1 is smaller than 3, we will take help of the decimal method, which will give us 0.3333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: As 1 is smaller than 3, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 3. Let's see how many times 3 makes 10.

Step 4: 10 is not a multiple of 3, so we will look for the nearest number that is 3 × 3 = 9. We will write 3 in the quotient place and subtract 9 from 10 gives 1.

Step 5: Bring down another 0 in the dividend place and make 1 as 10, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 8/24 as a decimal will be 0.3333……

• 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.
   
• Simplification: The process of reducing a fraction to its simplest form by dividing the numerator and the denominator by their greatest common divisor.
   
• Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.
   
• Greatest Common Divisor: The largest number that divides two or more numbers without leaving a remainder.