Q:

What is 105/100 as a decimal?

Accepted Solution

A:
Solution: 105/100 as a decimal is 1.05 Methods Method 1 – Explanation using the division method: One method to convert 105/100 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 105 by the denominator 100: 105 (numerator) Γ· 100 (denominator) = 1.05 And there you go! We got 1.05 as the answer when you convert 105/100 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 100 a power of 10, we need to multiply by 1 (100 * 1 = 100. Since we multiplied the denominator by {m}, we also need to multiply the numerator by {m} too: 105 βˆ— 1 100 βˆ— 1 = 105 100 = 1.05 \frac{105 * 1}{100 * 1} = \frac{105}{100} = 1.05 100 βˆ— 1 105 βˆ— 1 ​ = 100 105 ​ = 1.05 And finally, you get 1.05 as your answer when you convert 105/100 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 49/67 as a decimal? What is 22/126 as a decimal? What is 109/113 as a decimal? What is 118/95 as a decimal?