1.4 as a mixed number

Understand the Problem

The question is asking how to convert the decimal 1.4 into a mixed number format, which consists of a whole number and a proper fraction. To do this, we will separate the whole number from the decimal part and convert the decimal part into a fraction.

Answer

\( 1 \frac{2}{5} \)
Answer for screen readers

The final answer is ( 1 \frac{2}{5} ).

Steps to Solve

  1. Separate the whole number and decimal part

The whole number part of 1.4 is 1, and the decimal part is 0.4.

  1. Convert the decimal part to a fraction

To convert 0.4 into a fraction, we know that 0.4 can be written as $\frac{4}{10}$.

  1. Simplify the fraction

Next, we simplify $\frac{4}{10}$. We can divide both the numerator and the denominator by their greatest common divisor, which is 2:

$$ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} $$

  1. Combine the whole number and the simplified fraction

Now, we can write 1.4 as a mixed number. Combine the whole number and the fraction:

$$ 1.4 = 1 \frac{2}{5} $$

The final answer is ( 1 \frac{2}{5} ).

More Information

Converting decimals to mixed numbers is a useful skill, especially in fractions and measurements. Mixed numbers make it easier to understand quantities in a clear whole and fractional format.

Tips

  • Forgetting to simplify the fraction: Always check if the fraction can be simplified.
  • Misidentifying the whole number: Ensure you correctly separate the decimal from the whole number part.

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