QQuestionMathematics
QuestionMathematics
Convert the mixed number $6 \frac{5}{8}$ to an improper fraction in simplified form.
$6 \frac{5}{8}=$
$\square$
$\square$
$\square$ numerator
$\square$ denominator
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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:: Convert the mixed number to an improper fraction
6 \frac{5}{8} = \frac{(6 \times 8) + 5}{8}
- To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator - The whole number is 6 - The denominator is 8 - The numerator is 5
Step 3:: Calculate the new numerator
- Multiply 6 by 8: $$6 \times 8 = 48
- Add the original numerator 5: 48 + 5 = 53
Step 4:: Write the improper fraction
\frac{53}{8}
Step 5:: Check if the fraction can be simplified
- The greatest common factor of 53 and 8 is 1 - This means the fraction is already in its simplest form
Final Answer
6 \frac{5}{8} = \frac{53}{8}
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