Which fraction is equal to 2.7?
Understand the Problem
The question is asking for the fraction equivalent to the decimal number 2.7. To solve this, we can convert the decimal to a fraction by representing 2.7 as 27/10.
Answer
The fraction equivalent to the decimal number 2.7 is $\frac{27}{10}$.
Answer for screen readers
The fraction equivalent to the decimal number 2.7 is $\frac{27}{10}$.
Steps to Solve
- Convert the Decimal to a Fraction
First, we can represent the decimal number 2.7 as a fraction.
Since 2.7 has one decimal place, we can write it as:
$$ 2.7 = \frac{27}{10} $$
- Simplify the Fraction (if necessary)
Next, we check if the fraction $\frac{27}{10}$ can be simplified. In this case, the numerator (27) and the denominator (10) do not have any common factors other than 1. Thus, it is already in simplest form.
- Final Representation
The final fraction equivalent to the decimal number 2.7 is:
$$ \frac{27}{10} $$
The fraction equivalent to the decimal number 2.7 is $\frac{27}{10}$.
More Information
Converting decimals to fractions is a common practice in math, especially when dealing with rational numbers. The method involves writing the decimal as a fraction with a power of 10 in the denominator, based on the number of decimal places.
Tips
- A common mistake is to forget that a decimal represents a whole number plus a fractional part. Here, 2.7 can be thought of as $2 + 0.7$ which would convert to $\frac{20}{10} + \frac{7}{10} = \frac{27}{10}$. Always ensure to include all parts of the decimal when converting!
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