Convert 1.87 to a fraction.
Understand the Problem
The question is asking how to convert the decimal number 1.87 into a fraction. This involves expressing the decimal as a fraction, which typically requires finding a common denominator and simplifying.
Answer
$\frac{187}{100}$
Answer for screen readers
The final answer is $\frac{187}{100}$.
Steps to Solve
- Identify the decimal places
The decimal number 1.87 has two digits after the decimal point. This means we can express it as a fraction over 100.
- Convert to a fraction
We can write 1.87 as:
$$ \frac{187}{100} $$
- Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 187 and 100. The GCD is 1 because 187 is a prime number and does not share any factors with 100.
- Write in simplest form
Since the GCD is 1, the fraction cannot be simplified further. Therefore, the fraction representation of 1.87 is:
$$ \frac{187}{100} $$
The final answer is $\frac{187}{100}$.
More Information
Converting decimals to fractions is a useful skill, especially in mathematics and applications requiring precise calculations. The process often involves recognizing the place value of the decimal and using equivalent fractions.
Tips
- Assuming that all decimals can be simplified. It's essential to find the GCD to determine if simplification is possible.
- Forgetting to account for numbers before the decimal point. Always consider the entire decimal number.
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