To convert the decimal 0.75 to a fraction in its simplest form, follow these steps:
1. Write 0.75 as a fraction: \( \frac{75}{100} \).
2. Simplify the fraction by finding the greatest common divisor (GCD) of 75 and 100, which is 25.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}.
\]
So, 0.75 as a fraction in simplest form is \( \frac{3}{4} \).
Therefore, the correct answer is:
\( \frac{3}{4} \).
Decimals as Rational Numbers Quick Check
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Question
What is 0.75 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
75100
Start Fraction 75 over 100 End Fraction
75
Start Fraction 7 over 5 End Fraction
340
Start Fraction 3 over 40 End Fraction
34
1 answer