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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 26, which represents how many parts out of the whole. The denominator (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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
26/3 in decimals can be written as 8.66666..... It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 26/3 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 (26) will be taken as the dividend and the denominator (3) will be taken as the divisor.
Step 2: Divide 26 by 3. 3 fits into 26 eight times because 3 × 8 = 24. Write 8 in the quotient place.
Step 3: Subtract 24 from 26, which gives 2. Bring down a 0, making it 20.
Step 4: 3 fits into 20 six times because 3 × 6 = 18. Write 6 in the quotient place and subtract 18 from 20, which gives 2.
Step 5: Bring down another 0, making it 20 again, and repeat the division process. The division process continues with the remainder never reaching 0, resulting in a recurring decimal.
The answer for 26/3 as a decimal will be 8.6666……