Convert 11.5 to a complex fraction
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Convert 11.5 to a complex fraction
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The number given is 11.5. Here, 11 is the whole number, and 0.5 is the decimal part.
Step 2: Convert the decimal part (0.5) into a fraction. Since 0.5 means five tenths, it can be written as:
Step 3: Combine the whole number with the fraction. Thus, we have:
This mixed number correctly represents the decimal 11.5 when converted to a fraction, as it combines the integer part with the fractional decimal part translated into a fraction.
Therefore, the solution to the problem is .
What part of the whole does the shaded (blue) area represent?
Look at the decimal carefully! 0.5 has one digit after the decimal point, so it represents tenths. If it were 0.05, then it would be (hundredths).
Yes! when simplified. So . Both forms are correct, but simplified fractions are usually preferred.
A mixed number like shows whole and fractional parts separately. An improper fraction like has a numerator larger than the denominator.
Count the decimal places!
The question asks for a mixed number (complex fraction), not an improper fraction. Mixed numbers clearly separate the whole and fractional parts, making them easier to understand.
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