QQuestionMathematics
QuestionMathematics
What is 1.4 as a fraction in simplest form? Explain the steps.
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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 decimal 1.4 to a fraction
1.4 = 1 + \frac{4}{10}
To convert a decimal to a fraction, we first recognize that 1.4 = 1 + 0.4
Step 3:: Separate the whole number and fractional part
The whole number is 1, and the decimal part is $$\frac{4}{10}
Step 4:: Simplify the fractional part
Reduce $$\frac{4}{10}$$ by dividing both numerator and denominator by their greatest common factor (2)
\frac{4}{10} = \frac{2}{5}
Step 5:: Combine the whole number and simplified fraction
1.4 = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5}
Final Answer
\frac{7}{5} is 1.4 expressed as a fraction in its simplest form.
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