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Last updated on March 3rd, 2025
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: 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, here it is 6. 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.
23/6 in decimals can be written as 3.8333..... It is a recurring decimal, showing it will repeat certain digits infinitely.
To get 23/6 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 (6) will be taken as the divisor.
Step 2: Divide 23 by 6. Now let's see how many times 6 goes into 23.
Step 3: 6 goes into 23 three times (6 × 3 = 18). We will write 3 in the quotient place.
Step 4: Subtract 18 from 23, which gives 5.
Step 5: Bring down a 0 to make it 50 and add a decimal point in the quotient.
Step 6: Now, divide 50 by 6. 6 goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient place.
Step 7: Subtract 48 from 50 to get 2. Bring down another 0 to make it 20.
Step 8: Repeat the division process. 6 goes into 20 three times (6 × 3 = 18). This division process continues, and we do not get a remainder of 0, resulting in a recurring decimal.
The answer for 23/6 as a decimal is 3.8333......