2.4 as a fraction

2.4 as a fraction

The Correct Answer and Explanation is:

Correct Answer:

2.4 as a fraction is 125\frac{12}{5}

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Step-by-Step Explanation

To convert 2.4 into a fraction, follow these logical steps:

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Step 1: Understand what 2.4 means

The number 2.4 is a decimal number. It represents 2 whole parts and 0.4 as a decimal. This is the same as writing: 2.4=2+0.42.4 = 2 + 0.4

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Step 2: Convert 0.4 to a fraction

Now focus on 0.4. Since the digit 4 is in the tenths place, it means: 0.4=4100.4 = \frac{4}{10}

You can simplify this fraction: 410=25\frac{4}{10} = \frac{2}{5}

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Step 3: Add the whole number and the fraction

Now add the whole number part back: 2+252 + \frac{2}{5}

To add these, convert the whole number 2 to a fraction with the same denominator: 2=1052 = \frac{10}{5}

Now add: 105+25=125\frac{10}{5} + \frac{2}{5} = \frac{12}{5}

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Step 4: Final Answer

So, 2.4 as a fraction is: 125\boxed{\frac{12}{5}}

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Extra Insight

If you prefer a quicker method:

1. Write 2.4 as 2410\frac{24}{10}, because there is one digit after the decimal.
2. Simplify 2410\frac{24}{10} by dividing both numerator and denominator by 2:

2410=125\frac{24}{10} = \frac{12}{5}

Same result!

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Conclusion

2.4 is equivalent to the improper fraction 125\frac{12}{5}. It can also be written as the mixed number: 2252 \frac{2}{5}

Both are valid, but 125\frac{12}{5} is the proper fractional form.