Convert 0.138 to a fraction.
Understand the Problem
The question is asking how to convert the decimal 0.138 into a fraction. To solve this, we can express the decimal as a fraction with a denominator of 1000 and simplify it if possible.
Answer
The fraction form of 0.138 is $\frac{69}{500}$.
Answer for screen readers
The final fraction representation of 0.138 is $\frac{69}{500}$.
Steps to Solve
- Express the Decimal as a Fraction
The first step is to express the decimal as a fraction. Since there are three decimal places in 0.138, we can write it as: $$ \frac{138}{1000} $$
- Simplify the Fraction
Next, we need to simplify the fraction if possible. We do this by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 138 and 1000 is 2. We divide both the numerator and denominator by 2: $$ \frac{138 \div 2}{1000 \div 2} = \frac{69}{500} $$
- Final Fraction
The simplified fraction of the decimal 0.138 is: $$ \frac{69}{500} $$
The final fraction representation of 0.138 is $\frac{69}{500}$.
More Information
Converting decimals to fractions is a helpful skill, especially in mathematics. The process of finding the GCD can often help simplify the fraction to its simplest form, making calculations more straightforward.
Tips
- Not counting the correct number of decimal places when forming the fraction.
- Failing to simplify the fraction after forming it; always check for GCD.
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