QQuestionMathematics
QuestionMathematics
Convert the following improper fraction into a mixed fraction.
43 / 12
12 months agoReport content
Answer
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Step 1:I'll solve this step by step using the precise LaTeX formatting guidelines you specified:
Step 2:: Divide the numerator by the denominator
43 \div 12 = 3 \text{ remainder } 7
To convert an improper fraction to a mixed fraction, we divide 43 by 12:
Step 3:: Determine the whole number part
3
The whole number part is the quotient of the division:
Step 4:: Create the fractional part
\frac{7}{12}
The remainder (7) becomes the new numerator, and the original denominator (12) remains the same:
Step 5:: Combine the whole number and fractional parts
3\frac{7}{12}
Final Answer
Key Insights: - An improper fraction (numerator > denominator) can always be converted to a mixed fraction - The whole number is found by integer division - The remainder becomes the new numerator - The original denominator remains unchanged
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