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QuestionMathematics

Convert 5 3 / 4 to a decimal. Round to the nearest tenth. 5.75 5.7 5.8 6
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Answer

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Step 1:
I'll solve this step-by-step using the specified LaTeX formatting guidelines:

Step 2:
: Understand the Mixed Number

In this case, we have $$5 \frac{3}{4}$$.
A mixed number consists of a whole number and a fraction.

Step 3:
: Convert the Fraction to Decimal

To convert $$\frac{3}{4}$$ to a decimal, divide 3 by 4:
\frac{3}{4} = 0.75

Step 4:
: Add the Whole Number

5 + 0.75 = 5.75
Add the whole number (5) to the decimal fraction:

Step 5:
: Round to the Nearest Tenth

5.75 \approx 5.8
When rounding 5.75 to the nearest tenth: - The tenths place is 7 - The hundredths digit (5) is less than 5, so we round down

Final Answer

The correct answer is 5.8.