What is 4 102/10 as a decimal?

Accepted Solution

Solution: 4 102/10 as a decimal is 14.2MethodsFirst step – Making the fraction improper:The first step to changing 4 102/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 10 and add its product to 102 in the numerator to get: 142/10. Now we will attempt to convert 142/10 to a decimal using one of the following methods:Method 1 – Explanation using the division method:One method to convert 142/10 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 142 by the denominator 10:142 (numerator) Γ· 10 (denominator) = 14.2And there you go! We got 14.2 as the answer when you convert 4 102/10 (or 142/10) 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:142βˆ—110βˆ—1=14210=14.2\frac{142 * 1}{10 * 1} = \frac{142}{10} = 14.210βˆ—1142βˆ—1​=10142​=14.2And finally, you get 14.2 as your answer when you convert 4 102/10 (or 142/10) 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 2 17/6 as a decimal?What is 5 30/22 as a decimal?What is 2 42/36 as a decimal?What is 1 97/28 as a decimal?