The first step to changing 110 33/1 into a decimal is to change it to an improper fraction. To do that, we need to multiply 110 by 1 and add its product to 33 in the numerator to get: 143/1. Now we will attempt to convert 143/1 to a decimal using one of the following methods:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 143 by the denominator 1 to get the decimal:
143 (numerator) ÷ 1 (denominator) = 143
That’s it! When you convert 110 33/1 (or 143/1) to a decimal, 143 is your answer.
Another method is to change the denominator to a power of 10 (like 10, 100, 1000 etc.). This way, the fraction will be coming simpler to compute.
Even if our denominator is not a power of 10, we can make it one. 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. Since our denominator is 1, we can convert it because it is a factor of a power of 10.
To do that, we multiply 1 by 10 to make the denominator 10. And since we multiplied the denominator by 10, we also need to multiply the numerator by 10 too:
And finally, you get 143 as your answer when you convert 110 33/1 (or 143/1) to a decimal.
All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:
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