Q:

# What is 10 23/10 as a decimal?

Accepted Solution

A:
Solution: 10 23/10 as a decimal is 12.3MethodsFirst step β Making the fraction improper:The first step to changing 10 23/10 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 23 in the numerator to get: 123/10. Now we will attempt to convert 123/10 to a decimal using one of the following methods:Method 1 β Explanation using the division method:A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 123 by the denominator 10:123 (numerator) Γ· 10 (denominator) = 12.3As a result, you get 12.3 as your answer when you convert 10 23/10 (or 123/10) to a decimal.Method 2 β Explanation using the factors of 10 method:Often times itβs easier to divide a number by powers of 10 (like 10, 100, 1000 etc.) because all you need to do is move the invisible decimal place left by how many zeros you have in the power of 10. The problem is that the denominator sometimes isnβt a power of 10 β like this in problem, 10 is not a power of 10.So, what do we do? We can convert this fraction into a power of 10! 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 them into a power of 10.How? Multiply by the numerator (top) and denominator (bottom) by the same amount that makes the denominator to a power of 10. To make 10 a power of 10, we need to multiply by 1 (10 * 1 = 10). Now if we multiply the denominator by 1, we also need to multiply the numerator by 1 too:123β110β1=12310=12.3\frac{123 * 1}{10 * 1} = \frac{123}{10} = 12.310β1123β1β=10123β=12.3And finally, you get 12.3 as your answer when you convert 10 23/10 (or 123/10) to a decimal.Convert some more fractions to decimals!Practice some more problems on converting fractions to decimals:What is 4 80/9 as a decimal?What is 2 10/43 as a decimal?What is 3 33/39 as a decimal?What is 4 15/28 as a decimal?