Q:

What is 10 33/10 as a decimal?

Accepted Solution

A:
Solution: 10 33/10 as a decimal is 13.3MethodsFirst step – Making the fraction improper:The first step to changing 10 33/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 10 by 10 and add its product to 33 in the numerator to get: 133/10. Now we will attempt to convert 133/10 to a decimal using one of the following methods:Method 1 – Explanation using the division method:One method to convert 133/10 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 133 by the denominator 10:133 (numerator) Γ· 10 (denominator) = 13.3And there you go! We got 13.3 as the answer when you convert 10 33/10 (or 133/10) to a decimal.Method 2 – 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:133βˆ—110βˆ—1=13310=13.3\frac{133 * 1}{10 * 1} = \frac{133}{10} = 13.310βˆ—1133βˆ—1​=10133​=13.3And finally, you get 13.3 as your answer when you convert 10 33/10 (or 133/10) to a decimal.Practice more problems!All it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go:What is 3 5/48 as a decimal?What is 1 45/24 as a decimal?What is 3 27/41 as a decimal?What is 5 19/26 as a decimal?