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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 (the number on the top), here -11, which represents how many parts out of the whole, and the denominator (the number below), here 5, which shows how many parts make up the whole. 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.
-11/5 in decimals can be written as -2.2. It is a terminating decimal, which means it does not repeat infinitely.
To get -11/5 in decimal, we will use the division method. Since 11 is larger than 5, no initial adjustment is needed to begin the division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (-11) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide 11 by 5. 5 goes into 11 two times, which gives 10. Write 2 in the quotient place and subtract 10 from 11, which gives 1.
Step 3: Bring down a 0 to make it 10, place a decimal point in the quotient, and continue the division.
Step 4: 5 goes into 10 two times exactly, leaving a remainder of 0. The division process terminates here, indicating that -11/5 as a decimal is -2.2.