Answer :
Final answer:
To convert -0.64 into a mixed number in simplest form, first find the fraction part by dividing by the decimal place value. Then, simplify the fraction by dividing the numerator and denominator by their greatest common divisor. Finally, rewrite the mixed number in its simplest form.
Explanation:
To convert -0.64 into a mixed number in simplest form, you need to understand that a mixed number consists of a whole number and a fraction. First, take the absolute value of the decimal, which is 0.64. This will give you the fraction part of the mixed number. Next, divide the fraction part by the decimal place value represented by the number of digits after the decimal point. In this case, since there are two digits after the decimal point, the decimal place value is 100. Dividing 64 by 100 gives you a fraction of 64/100. Simplify this fraction to 32/50 by dividing both the numerator and denominator by their greatest common divisor, which is 2. Now, you can write the mixed number as 0 32/50. Further simplify this mixed number to 0 16/25 by dividing both the numerator and denominator by their greatest common divisor again, which is 2. Therefore, -0.64 as a mixed number in simplest form is -0 16/25.
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The decimal -0.64 is represented as the fraction -16/25 in its simplest form, effectively answering how to express the given decimal as a mixed number or fraction.
The question asks for converting -0.64 into a mixed number in its simplest form. However, because -0.64 is a decimal less than 1 (and negative), it does not convert directly into a traditional 'mixed number' form, which typically involves a whole number alongside a fraction. Instead, we can express -0.64 as a simple fraction. To do this, note that 0.64 can be viewed as 64/100 which simplifies to 16/25; hence, -0.64 can be represented as -16/25. This fraction is already in its simplest form and represents the decimal -0.64 accurately.
