20/24 as a Decimal

Answer

20/24 in decimals can be simplified first and then written as approximately 0.8333. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 20/24 in decimal, we will use division method. However, simplifying the fraction first makes it easier. 20/24 simplifies to 5/6. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 20/24 to 5/6 by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

Step 2: Identify the numerator and denominator of the simplified fraction because numerator (5) will be taken as the dividend and denominator (6) will be taken as the divisor.

Step 3: As 5 is smaller than 6, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.

Step 4: Now that it is 50, we can divide it by 6. Let's see how many times 6 makes 50.

Step 5: 50 is not a multiple of 6, so we will look for the nearest number that is 6 × 8 = 48. We will write 8 in the quotient place and subtract 48 from 50, which gives 2.

Step 6: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. The division process continues, and we get a repeating remainder, indicating this process is a recurring decimal.

The answer for 20/24 as a decimal will be approximately 0.8333...

• 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 in which a digit or group of digits repeats infinitely.