Change 0.8 to a common fraction.
Answer (2)
Convert the decimal 0.8 to a fraction: 0.8 = 10 8 .
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (2): 10 8 = 10 ÷ 2 8 ÷ 2 = 5 4 .
The simplified fraction is 5 4 .
Therefore, 0.8 = 5 4 .
Explanation
Understanding the Problem We need to convert the decimal 0.8 into a common fraction. This means we want to express 0.8 as a fraction in the form b a , where a and b are integers, and then simplify it to its lowest terms.
Converting Decimal to Fraction To convert 0.8 to a fraction, we can write it as 10 8 . This is because 0.8 represents 8 tenths.
Simplifying the Fraction Now, we need to simplify the fraction 10 8 . Both the numerator (8) and the denominator (10) are divisible by 2. So, we divide both by 2: 10 ÷ 2 8 ÷ 2 = 5 4
Identifying the Correct Option The simplified fraction is 5 4 . This is one of the options provided.
Final Answer Therefore, 0.8 expressed as a common fraction is 5 4 .
Examples
In everyday life, converting decimals to fractions is useful when dealing with measurements or proportions. For example, if you want to measure out 0.8 of a cup of flour for a recipe, knowing that 0.8 is equivalent to 5 4 of a cup helps you visualize and measure the quantity more accurately. Similarly, if a store offers a discount of 0.8 off the original price, you can think of it as a 5 4 discount, making it easier to understand the savings.
The decimal 0.8 can be converted into a common fraction by expressing it as 10 8 and simplifying it to 5 4 . Therefore, 0.8 = 5 4 . This method helps in understanding measurements better in practical scenarios.
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