4/24 as a Decimal

Answer

4/24 in decimals can be simplified to 0.16666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4/24 in decimal, we will use the division method. Here as 4 is smaller than 24, we will take help of the decimal method which will give us 0.1666. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 4/24 to 1/6 by dividing both the numerator and the denominator by 4. Identify the numerator and denominator because numerator (1) will be taken as dividend and denominator (6) will be taken as divisor.

Step 2: As 1 is smaller than 6, 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 6. Let's see how many times 6 makes 10.

Step 4: 10 is not a multiple of 6, so we will look for the nearest number that is 6 × 1 = 6. We will write 1 in the quotient place and subtract 6 from 10 to get 4.

Step 5: Bring down another 0 in the dividend place and make 4 as 40 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called recurring decimal.

The answer for 4/24 as a decimal will be 0.1666…

• 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.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal that repeats the same digit or sequence of digits infinitely.