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Last updated on March 15th, 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 8 3/10 represents eight whole parts and three out of ten parts of another whole. The denominator (number below) shows how many parts make the whole, here it is 10. A decimal is a way to represent a number that is 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.
8 3/10 in decimals can be written as 8.3. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To convert 8 3/10 to a decimal, we will use simple division for the fractional part and add it to the whole number. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number and the fraction. Here, 8 is the whole number, and 3/10 is the fraction.
Step 2: Convert the fraction 3/10 to decimal by dividing the numerator by the denominator.
Step 3: Divide 3 by 10, which gives 0.3.
Step 4: Add the decimal obtained from the fraction to the whole number. Therefore, 8 + 0.3 = 8.3.
Step 5: The conversion process is complete, and we have a terminating decimal.
The answer for 8 3/10 as a decimal is 8.3.