Convert 6.1 to a fraction.
Understand the Problem
The question asks to convert the decimal 6.1 into its equivalent fraction form. This involves expressing the decimal as a ratio of two integers.
Answer
$\frac{61}{10}$
Answer for screen readers
$\frac{61}{10}$
Steps to Solve
- Write the decimal as a fraction with a denominator of 1
$6.1 = \frac{6.1}{1}$
- Multiply numerator and denominator by 10 to remove the decimal point
Since there is one digit after the decimal point, we multiply both the numerator and the denominator by 10:
$\frac{6.1 \times 10}{1 \times 10} = \frac{61}{10}$
- Check if the fraction can be simplified
In this case, 61 is a prime number and does not share any common factors with 10 other than 1. Therefore, the fraction is already in its simplest form.
$\frac{61}{10}$
More Information
The fraction $\frac{61}{10}$ can also be written as a mixed number: $6\frac{1}{10}$. The decimal 6.1 represents six and one-tenth.
Tips
A common mistake is not multiplying both the numerator and the denominator by the same power of 10, which changes the value of the number. Another common mistake is not simplifying the fraction to its simplest form. However, in this problem, $\frac{61}{10}$ is already in its simplest form since 61 is a prime number and does not share any factors with 10.
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