The first step to changing 7 45/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 7 by 8 and add its product to 45 in the numerator to get: 101/8. Now we will attempt to convert 101/8 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 101 by the denominator 8:
101 (numerator) ÷ 8 (denominator) = 12.63
As a result, you get 12.63 as your answer when you convert 7 45/8 (or 101/8) to a decimal.
Practice some more problems on converting fractions to decimals:
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