Since 1.38 is more than one, we can take the 1 off to the side and find the fraction for 0.38. 1 + 0.38 Put 38 over 100 to start, since 0.38 is really "38 hundredths". 1 + 100 38 You have to reduce 38/100 because it can be simplified. 100 38 = 50 19 1 + 50 19 Now, this is a mixed number. This is a correct answer, since 19/50 cannot be simplified further. However, if you want an improper fraction, you must go one step further and put the 1 back in. 1 = 50 50 50 50 + 50 19 Add the numerators: 50 50 + 50 19 = 50 69
The decimal 1.38 can be converted into a fraction as either a mixed number (1 19/50) or an improper fraction (69/50). The decimal part, 0.38, is simplified to 19/50 and combined with the whole number. Therefore, both forms correctly represent the decimal as a fraction.
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