The first step to changing 34 11/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 34 by 4 and add its product to 11 in the numerator to get: 147/4. Now we will attempt to convert 147/4 to a decimal using the following 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 147 by the denominator 4:
147 (numerator) ÷ 4 (denominator) = 36.75
As a result, you get 36.75 as your answer when you convert 34 11/4 (or 147/4) to a decimal.
Practice some more problems on converting fractions to decimals:
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