23/12 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts, the numerator (number on the top) here, 23 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, and here it is 12. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 23/12 as a decimal?

$23/12 as a decimal$

Answer

23/12 in decimals can be written as 1.91666... It is a recurring decimal, showing the digit 6 will repeat infinitely.

Explanation

To get 23/12 in decimal, we will use the division method. Here, since 23 is larger than 12, we can directly divide. 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 (12) will be taken as the divisor.

Step 2: Divide 23 by 12. 12 goes into 23 once, so write 1 in the quotient place.

Step 3: Subtract 12 from 23, which leaves a remainder of 11.

Step 4: Bring down a 0 to make it 110 and place a decimal point in the quotient.

Step 5: Now, 12 goes into 110 nine times (12 × 9 = 108). Write 9 in the quotient. Subtract 108 from 110, leaving a remainder of 2.

Step 6: Bring down another 0 to make it 20. 12 goes into 20 once (12 × 1 = 12). Write 1 in the quotient.

Step 7: Subtract 12 from 20, leaving a remainder of 8. Bring down another 0 to make it 80. 12 goes into 80 six times (12 × 6 = 72). Write 6 in the quotient.

Step 8: The division process continues, as we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 23/12 as a decimal will be 1.91666...

Important Glossaries for 23/12 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 one or more digits repeat infinitely.