MATH SOLVE

1 month ago

Q:
# What is 101 49/1 as a decimal?

Accepted Solution

A:

Solution: 101 49/1 as a decimal is 150MethodsFirst step β Making the fraction improper:The first step to changing 101 49/1 into a decimal is to change it to an improper fraction. To do that, we need to multiply 101 by 1 and add its product to 49 in the numerator to get: 150/1. Now we will attempt to convert 150/1 to a decimal using one of the following methods:Method 1 β Explanation using the division method:One method to convert 150/1 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 150 by the denominator 1:150 (numerator) Γ· 1 (denominator) = 150And there you go! We got 150 as the answer when you convert 101 49/1 (or 150/1) 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 1 a power of 10, we need to multiply by 10 (1 * 10 = 10. Since we multiplied the denominator by 10, we also need to multiply the numerator by 10 too:150β101β10=150010=150\frac{150 * 10}{1 * 10} = \frac{1500}{10} = 1501β10150β10β=101500β=150And finally, you get 150 as your answer when you convert 101 49/1 (or 150/1) 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 9/42 as a decimal?What is 3 3/47 as a decimal?What is 9 4/16 as a decimal?What is 36 24/3 as a decimal?