QQuestionMathematics
QuestionMathematics
Which of the following expresses 2.4 as a fraction in simplest form?
\begin{aligned}
& \text { (1) } 2 \frac{1}{4} \\
& \text { (1) } 2 \frac{2}{5} \\
& \text { (1) } 2 \frac{11}{25} \\
& \text { (1) } 2 \frac{4}{9}
\end{aligned}
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Convert 2.4 to a mixed number
- First, separate the whole number part and the decimal part - Whole number part is 2 - Decimal part is 0.4
Step 3:: Convert 0.4 to a fraction
- $$\frac{4}{10} = \frac{2}{5}
- Simplify by dividing both numerator and denominator by their greatest common factor (2)
Step 4:: Combine the whole number and fraction
- 2.4 = $$2 \frac{2}{5}
Step 5:: Check the given options
- Option 4: $$2 \frac{4}{9}$$ ❌ (incorrect)
- Option 2: 2 \frac{2}{5} ✅ (correct)
Final Answer
The correct representation of 2.4 as a fraction in simplest form is 2 \frac{2}{5}.
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