23/60 as a Decimal

Answer

23/60 in decimals can be written as 0.3833. It is a terminating decimal.

Explanation

To get 23/60 in decimal, we will use the division method. Here, since 23 is smaller than 60, we will take help of the decimal method which will give us 0.3833. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (23) will be taken as dividend and denominator (60) will be taken as divisor.

Step 2: As 23 is smaller than 60, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 23 as 230 and add a decimal point in the quotient place.

Step 3: Now that it is 230, we can divide it by 60. Let's see how many times 60 goes into 230.

Step 4: 60 goes into 230 about 3 times since 60 × 3 = 180.

Step 5: Subtract 180 from 230 gives 50. Bring down another 0 in the dividend place, making it 500.

Step 6: 60 goes into 500 about 8 times since 60 × 8 = 480. Subtract 480 from 500 gives 20.

Step 7: Bring down another 0 in the dividend place, making it 200. 60 goes into 200 about 3 times since 60 × 3 = 180.

Step 8: The remainder is 20, and if you continue the process, you will find a repeating pattern.

Thus, 23/60 ≈ 0.3833.

• 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.
   
• Terminating Decimal: A decimal that comes to an end after a finite number of digits.