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
- Write the decimal as a fraction
To convert the decimal $0.8$ into a fraction, we start by writing it as $\frac{0.8}{1}$.
- 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:
$$ \frac{0.8 \times 10}{1 \times 10} = \frac{8}{10} $$
- 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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