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Math Tutor Solution: 8 29/10 as a decimal is 10.9
Methods
First step – Making the fraction improper:
The first step to changing 8 29/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 8 by 10 and add its product to 29 in the numerator to get: 109/10. Now we will attempt to convert 109/10 to a decimal using one of the following methods:
Method 1 from a math tutor – Explanation using the division method:
One method to convert 109/10 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 109 by the denominator 10:
109 (numerator) ÷ 10 (denominator) = 10.9
And there you go! We got 10.9 as the answer when you convert 8 29/10 (or 109/10) to a decimal.
Method 2 from a math tutor – Explanation using the factors of 10 method:
In this method, we will convert the denominator into a power of 10 and then our fraction will be easier to calculate. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert it into a power of 10.
In order to make 10 a power of 10, we need to multiply by 1 (10 * 1 = 10. Since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:
Math tutor suggests: Practice more problems!
All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:
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