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Last updated on March 3rd, 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: numerator (number on the top) and denominator (number below). In the case of a mixed number like 5 1/2, we have a whole part (5) and a fractional part (1/2). A decimal is a way to represent numbers that are not whole, using a decimal point (.) 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.
5 1/2 in decimal form can be written as 5.5. This is a terminating decimal.
To convert 5 1/2 to a decimal, we need to convert the fractional part 1/2 to a decimal and then add it to the whole number 5.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole part and fractional part of the mixed number. Here, the whole part is 5, and the fractional part is 1/2.
Step 2: Convert the fractional part to a decimal. To convert 1/2 to a decimal, divide the numerator (1) by the denominator (2).
Step 3: 1 divided by 2 equals 0.5.
Step 4: Add the decimal obtained from the fractional part (0.5) to the whole part (5) to get the decimal form of the mixed number.
Step 5: Therefore, 5 + 0.5 equals 5.5. The decimal representation of 5 1/2 is 5.5, which is a terminating decimal.