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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers and decimals. A mixed number represents a whole number combined with a fraction. It has three parts: a whole number and a fraction with a numerator (the number on top) and a denominator (the number below). In this case, 6 is the whole number, 5 is the numerator, and 8 is the denominator. A decimal is a way to represent numbers that are not whole, using 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.
6 5/8 in decimals can be written as 6.625. It is a terminating decimal, meaning it does not repeat.
To convert 6 5/8 to a decimal, we will first convert the fraction 5/8 to a decimal and then add it to the whole number 6.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the fraction 5/8. Here, 5 is the numerator and 8 is the denominator.
Step 2: Divide 5 by 8 to get the decimal equivalent of the fraction.
Step 3: Perform the division: 5 ÷ 8 = 0.625.
Step 4: Add the whole number 6 to the decimal 0.625 to get the final result.
Step 5: The sum is 6 + 0.625 = 6.625.
Thus, 6 5/8 as a decimal is 6.625.