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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 of the whole. It has two parts: the numerator (number on the top) here, 13 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 point 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.
Answer
13/6 in decimals can be written as 2.16666…. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 13/6 in decimal, we will use the division method. Here, as 13 is larger than 6, we perform straightforward division to find the decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (6) will be taken as the divisor.
Step 2: Divide 13 by 6. 6 goes into 13 two times, so we write 2 in the quotient place.
Step 3: Subtract 12 (6 × 2) from 13, which gives a remainder of 1.
Step 4: Bring down a 0 to make it 10, and add a decimal point in the quotient place.
Step 5: Now, divide 10 by 6. 6 goes into 10 one time, so write 1 in the quotient place.
Step 6: Subtract 6 from 10, which leaves a remainder of 4. Bring down another 0 to make it 40.
Step 7: 6 goes into 40 six times, write 6 in the quotient place, subtract 36 from 40, and you get a remainder of 4.
Step 8: Repeat the process, bringing down 0s and dividing by 6, which will continue indefinitely as a recurring decimal.
The answer for 13/6 as a decimal will be 2.1666……