5.83 as a fraction
Understand the Problem
The question is asking how to convert the decimal number 5.83 into a fraction. To solve this, we will express the decimal in terms of a fraction with a numerator and a denominator.
Answer
The fraction for 5.83 is $\frac{583}{100}$.
Answer for screen readers
The decimal number 5.83 as a fraction is $\frac{583}{100}$.
Steps to Solve
- Identify the decimal place
The decimal number 5.83 has two digits after the decimal point. This means it can be expressed as a fraction with a denominator of 100.
- Write the decimal as a fraction
To convert 5.83 into a fraction, we write it as:
$$ 5.83 = \frac{583}{100} $$
- Simplify the fraction
Now we need to simplify the fraction $\frac{583}{100}$. We do this by finding the greatest common divisor (GCD) of the numerator and the denominator.
- The number 583 is a prime number, and its only divisors are 1 and 583.
- The number 100 can be factored into $2^2 \times 5^2$.
Since the GCD is 1, the fraction $\frac{583}{100}$ is already in its simplest form.
The decimal number 5.83 as a fraction is $\frac{583}{100}$.
More Information
Converting decimals to fractions is a helpful skill in mathematics, especially when working with measurements or ratios. The process involves identifying the decimal place value and converting it into a fraction based on that value, simplifying as needed.
Tips
- Neglecting to simplify the fraction after conversion, which can lead to incorrect answers.
- Miscounting the number of decimal places, leading to an incorrect denominator.
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