The first step to changing 5 102/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 7 and add its product to 102 in the numerator to get: 137/7. Now we will attempt to convert 137/7 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 137 by the denominator 7:
137 (numerator) ÷ 7 (denominator) = 19.57
As a result, you get 19.57 as your answer when you convert 5 102/7 (or 137/7) to a decimal.
Practice some more problems on converting fractions to decimals:
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