16/24 as a Decimal

Answer

16/24 in decimals can be simplified first to 2/3, which is 0.66666... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 16/24 in decimal, we will simplify the fraction first. The greatest common divisor of 16 and 24 is 8.

Step 1: Divide both the numerator and the denominator by 8, which simplifies the fraction to 2/3.

Step 2: Now, convert 2/3 to a decimal by using the division method. Here, as 2 is smaller than 3, we will take the help of the decimal method, which will give us 0.6666. Let's see the step-by-step breakdown of the process.

Step 3: Identify the numerator and denominator because numerator (2) will be taken as the dividend and denominator (3) will be taken as the divisor.

Step 4: As 2 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 2 as 20, and add a decimal point in the quotient place.

Step 5: Now that it is 20, we can divide it by 3. Let's see how many times 3 makes 20.

Step 6: 20 is not a multiple of 3, so we will look for the nearest number that is 3 × 6 = 18. We will write 6 in the quotient place, and subtract 18 from 20 gives 2.

Step 7: Bring down another 0 in the dividend place and make 2 as 20, 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 16/24 as a decimal will be 0.6666...

• 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 group of digits infinitely.