23/3 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (the number on the top), here 23 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 23/3 as a decimal?

$23/3 as a decimal$

Answer

23/3 in decimals can be written as 7.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 23/3 in decimal, we will use the division method. Here, 23 is larger than 3, so we can divide directly to get the decimal representation. 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 (3) will be taken as the divisor.

Step 2: Divide 23 by 3. Let's see how many times 3 fits into 23.

Step 3: 3 fits into 23 seven times because 3 × 7 = 21. Write 7 in the quotient place.

Step 4: Subtract 21 from 23, which gives 2.

Step 5: Bring down a 0, making it 20, and continue the division process.

Step 6: 3 fits into 20 six times because 3 × 6 = 18. Write 6 in the quotient place. Subtract 18 from 20 to get 2.

Step 7: Bring down another 0 and repeat the division process. The division process continues without reaching a remainder of 0, indicating a recurring decimal.

The answer for 23/3 as a decimal will be 7.6666……

Important Glossaries for 23/3 as a decimal

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.