Decimals as Rational Numbers Quick Check

Question

4 of 54 of 5 Items
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

Answer 1

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:
$$\frac{75÷25}{100÷25}=\frac{3}{4}.$$

So, 0.75 as a fraction in simplest form is $\frac{3}{4}$.

Therefore, the correct answer is:
$\frac{3}{4}$.