Convert 0.625 to a fraction.
Understand the Problem
The question is asking us to convert the decimal 0.625 into a fraction. To solve this, we need to express the decimal as a fraction with a numerator and a denominator.
Answer
$\frac{5}{8}$
Answer for screen readers
The final answer is $\frac{5}{8}$.
Steps to Solve
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Write the decimal as a fraction
To convert the decimal $0.625$ into a fraction, we can express it as $\frac{625}{1000}$. This is because $0.625$ means $625$ thousandths.
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Simplify the fraction
We need to simplify $\frac{625}{1000}$ to its lowest terms. Find the greatest common divisor (GCD) of $625$ and $1000$.
The GCD of $625$ and $1000$ is $125$.
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Divide the numerator and denominator by the GCD
Now, we simplify the fraction by dividing both the numerator and denominator by $125$:
$$ \frac{625 \div 125}{1000 \div 125} = \frac{5}{8} $$
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Final Result
The simplified fraction for $0.625$ is $\frac{5}{8}$.
The final answer is $\frac{5}{8}$.
More Information
Converting decimals to fractions is a useful skill in mathematics. Understanding how to simplify fractions is important because it helps in various aspects of math, including solving equations and working with ratios.
Tips
- Failing to simplify the fraction after converting from decimal.
- Not finding the GCD correctly, leading to incorrect simplification.
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