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Last updated on March 13th, 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 -11, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 2. 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.
-11/2 in decimals can be written as -5.5. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get -11/2 in decimal form, we will use the division method. Here, as 11 is larger than 2, we can divide directly. 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 (2) will be taken as the divisor.
Step 2: Divide -11 by 2.
Step 3: 2 goes into 11 five times, as 2 × 5 = 10.
Step 4: Subtract 10 from 11 to get 1.
Step 5: Bring down a 0 to make it 10 and divide again. Since 2 goes into 10 five times, write 5 in the quotient and subtract 10 from 10 to get 0. This process ends here as there is no remainder, making -11/2 a terminating decimal.
The answer for -11/2 as a decimal will be -5.5.