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Last updated on March 24th, 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, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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.
26/9 in decimals can be written as 2.88888….. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 26/9 in decimal, we will use the division method. Here as 26 is larger than 9, we will directly divide it. 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 (9) will be taken as the divisor.
Step 2: Divide 26 by 9. The quotient will be written as the whole number part.
Step 3: 26 divided by 9 gives 2 with a remainder of 8 (since 9 × 2 = 18 and 26 - 18 = 8).
Step 4: Bring down a 0 to make 8 as 80, and continue dividing.
Step 5: 80 divided by 9 gives 8 with a remainder of 8, repeating the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 26/9 as a decimal will be 2.8888……