Question
Convert 2.75 to a fraction in simplest form
Answers
Answered by
GPT-4o mini
To convert the decimal 2.75 to a fraction, follow these steps:
1. Write the decimal as a fraction: \( 2.75 = \frac{275}{100} \).
2. Simplify the fraction. The greatest common divisor (GCD) of 275 and 100 is 25.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{275 \div 25}{100 \div 25} = \frac{11}{4}
\]
Therefore, the simplest form of the fraction representing 2.75 is \( \frac{11}{4} \).
1. Write the decimal as a fraction: \( 2.75 = \frac{275}{100} \).
2. Simplify the fraction. The greatest common divisor (GCD) of 275 and 100 is 25.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{275 \div 25}{100 \div 25} = \frac{11}{4}
\]
Therefore, the simplest form of the fraction representing 2.75 is \( \frac{11}{4} \).
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