23/30 as a Decimal

Answer

23/30 in decimals can be written as 0.7666….. It is a non-terminating, repeating decimal.

Explanation

To get 23/30 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (30) will be taken as the divisor.

Step 2: As 23 is smaller than 30, we will take the help of decimals. We will add 0 to the dividend, making 23 as 230 and adding a decimal point in the quotient place.

Step 3: Now that it is 230, we can divide it by 30. Let's see how many times 30 fits into 230.

Step 4: 230 divided by 30 gives 7 with a remainder of 20. We write 7 in the quotient place.

Step 5: Bring down another 0 in the dividend place making it 200 and then repeat the division process.

Step 6: 200 divided by 30 gives 6 with a remainder of 20 again, which repeats the process. The division process continues with the same remainder repeating, indicating a repeating decimal.

The answer for 23/30 as a decimal will be approximately 0.7666.

• 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.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.