Question

Trista had 95 correct out of 100 problems on her math test. The ratio of correct answers to total problems is . Written in fraction form, this is . Written as a percent, Trista got of the problems correct.

Answer 1

Answer:

Fractional form = $\frac{95}{100}=\frac{19}{20}$

Percent form = 95%

Trisha got 95% of her problems correct.

Step-by-step explanation:

Given:

Total number of questions (N) = 100

Number of correct questions (C) = 95

Therefore, the ratio of the correct answers to the total number of problems is given by dividing the the number of correct questions by the total number of questions. This is given as:

Ratio expressed as a fraction = $\frac{C}{N}=\frac{95}{100}=\frac{95\div 5}{100\div 5}=\frac{19}{20}(Simplest\ form)$

Now in order to express this ratio in percentage form, we need to multiply the given ratio by 100. This gives,

Ratio expressed as a percent = $\frac{C}{N}\times 100=\frac{95}{100}\times 100=95\%$

Therefore, Trisha got 95% of her problems correct.