Question
carsen got 0.85 of his problems on his test correct. What is the amount of problems that were NOT correct as a fraction in simplest form?
Answers
GPT-4o mini
If Carsen got 0.85 of his problems correct, that means he did not get \( 1 - 0.85 = 0.15 \) of his problems correct.
To express 0.15 as a fraction, we can write it as:
\[
0.15 = \frac{15}{100}
\]
Next, we simplify the fraction \( \frac{15}{100} \):
1. Find the greatest common divisor (GCD) of 15 and 100, which is 5.
2. Divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 5}{100 \div 5} = \frac{3}{20}
\]
Thus, the amount of problems that were NOT correct, as a fraction in simplest form, is
\[
\frac{3}{20}.
\]
To express 0.15 as a fraction, we can write it as:
\[
0.15 = \frac{15}{100}
\]
Next, we simplify the fraction \( \frac{15}{100} \):
1. Find the greatest common divisor (GCD) of 15 and 100, which is 5.
2. Divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 5}{100 \div 5} = \frac{3}{20}
\]
Thus, the amount of problems that were NOT correct, as a fraction in simplest form, is
\[
\frac{3}{20}.
\]