MATH SOLVE

4 months ago

Q:
# What is 5 49/10 as a decimal?

Accepted Solution

A:

Solution: 5 49/10 as a decimal is 9.9MethodsFirst step β Making the fraction improper:The first step to changing 5 49/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 10 and add its product to 49 in the numerator to get: 99/10. Now we will attempt to convert 99/10 to a decimal using one of the following methods:Method 1 β Explanation using the division method:One method to convert 99/10 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 99 by the denominator 10:99 (numerator) Γ· 10 (denominator) = 9.9And there you go! We got 9.9 as the answer when you convert 5 49/10 (or 99/10) to a decimal.Method 2 β 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:99β110β1=9910=9.9\frac{99 * 1}{10 * 1} = \frac{99}{10} = 9.910β199β1β=1099β=9.9And finally, you get 9.9 as your answer when you convert 5 49/10 (or 99/10) 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 1 81/40 as a decimal?What is 2 6/46 as a decimal?What is 2 45/41 as a decimal?What is 2 43/48 as a decimal?