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How do you write 0.8 as a fraction?

Understand the Problem

The question is asking how to convert the decimal 0.8 into a fraction. To solve this, we will identify that 0.8 can be expressed as 8/10, which can then be simplified to 4/5.

Answer

The fraction equivalent of $0.8$ is $\frac{4}{5}$.
Answer for screen readers

The fraction equivalent of the decimal $0.8$ is $\frac{4}{5}$.

Steps to Solve

  1. Write the decimal as a fraction

To convert the decimal $0.8$ into a fraction, we start by writing it as $\frac{0.8}{1}$.

  1. Eliminate the decimal

To eliminate the decimal, multiply both the numerator and the denominator by $10$ (since $0.8$ has one decimal place). This gives us:

$$ \frac{0.8 \times 10}{1 \times 10} = \frac{8}{10} $$

  1. Simplify the fraction

Now, we can simplify the fraction $\frac{8}{10}$ by finding the greatest common divisor (GCD) of $8$ and $10$. The GCD is $2$. We divide both the numerator and the denominator by $2$:

$$ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} $$

The fraction equivalent of the decimal $0.8$ is $\frac{4}{5}$.

More Information

When converting decimals to fractions, remember to consider the place value of the decimal. In this case, $0.8$ is in the tenths place, which directly influences how we represent it as a fraction.

Tips

  • Forgetting to multiply both the numerator and denominator by the same number when eliminating the decimal.
  • Not simplifying the fraction afterward.
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