QQuestionMathematics
QuestionMathematics
Write 6 1 / 5 as an improper fraction in its simplest form.
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Answer
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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Understand the conversion from a mixed number to an improper fraction
- A mixed number consists of a whole number and a fractional part - In this case, we have 6 1 / 5
Step 3:: Convert the mixed number to an improper fraction
6 \frac{1}{5} = \frac{(6 \times 5) + 1}{5}
- Multiply the whole number (6) by the denominator of the fraction (5) - Add the numerator of the fractional part (1) - Place this sum over the original denominator
Step 4:: Calculate the numerator
- $$6 \times 5 = 30
- 30 + 1 = 31
Step 5:: Write the improper fraction
- $$\frac{31}{5}
Step 6:: Verify the fraction is in its simplest form
- Therefore, $$\frac{31}{5}$$ is already in its simplest form
- 31 and 5 have no common factors other than 1
Final Answer
\frac{31}{5}
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