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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 from the whole. It has two parts: the numerator (number on the top) here, 28 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. 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.
28/11 in decimals can be written as 2.5454... It is a repeating decimal, showing it will repeat the same sequence of digits infinitely.
To get 28/11 in decimal, we will use the division method. Let's follow the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (28) will be taken as the dividend and the denominator (11) will be taken as the divisor.
Step 2: Divide 28 by 11. Since 28 is greater than 11, we will perform the division directly.
Step 3: 11 goes into 28 two times since 11 × 2 = 22. We write 2 in the quotient place and subtract 22 from 28, which gives 6.
Step 4: Bring down a 0 to make the remainder 60. Now divide 60 by 11.
Step 5: 11 goes into 60 five times since 11 × 5 = 55. Write 5 in the quotient place and subtract 55 from 60, which gives 5.
Step 6: Bring down another 0 to make it 50 and divide again by 11.
Step 7: 11 goes into 50 four times since 11 × 4 = 44. Write 4 in the quotient place and subtract 44 from 50, which gives 6.
Step 8: Repeat the process starting from Step 4, as the pattern "54" will repeat indefinitely. This process is called a repeating decimal.
The answer for 28/11 as a decimal will be 2.5454...