What is the value of 0.8\u20130.6? Write your answer as a fraction in lowest terms<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The value of ( 0.8 – 0.6 ) is ( 0.2 ). Now, let’s express this as a fraction and simplify it.<\/p>\n\n\n\n Thus, the value of ( 0.8 – 0.6 ) is ( \\frac{1}{5} ) in its lowest terms.<\/p>\n\n\n\n The problem asks for the difference between 0.8 and 0.6 and requires the result to be expressed as a fraction in its simplest form. To tackle this, we first need to understand the connection between decimals and fractions.<\/p>\n\n\n\n Decimals are simply another way of representing fractions. The decimal 0.8 is equivalent to ( \\frac{8}{10} ) because the number 0.8 can be read as “eight-tenths.” Similarly, 0.6 is equivalent to ( \\frac{6}{10} ), or “six-tenths.” These fractions have the same denominator (10), which makes them easy to subtract.<\/p>\n\n\n\n Once we subtract the numerators (8 – 6), we get ( \\frac{2}{10} ). While this is a correct representation of the difference, the fraction ( \\frac{2}{10} ) is not in its simplest form. To simplify a fraction, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 2 and 10 is 2. Dividing both by 2 gives ( \\frac{1}{5} ).<\/p>\n\n\n\n Therefore, ( 0.8 – 0.6 ) equals ( \\frac{1}{5} ), which is the simplest form of the answer. This process demonstrates how decimals can be converted to fractions, subtracted, and then simplified for clarity and precision in mathematical expression.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the value of 0.8\u20130.6? Write your answer as a fraction in lowest terms The Correct Answer and Explanation is : The value of ( 0.8 – 0.6 ) is ( 0.2 ). Now, let’s express this as a fraction and simplify it. 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[
\\frac{8}{10} – \\frac{6}{10} = \\frac{8 – 6}{10} = \\frac{2}{10}
]<\/li>\n\n\n\n\n
[
\\frac{2 \\div 2}{10 \\div 2} = \\frac{1}{5}
]<\/li>\n<\/ul>\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n