Exercise 12 Page 151

We want to complete the given table of Marisol's quiz grades.

Test	Number Correct	Score	Total
Math	68		85
Science		90 %	70

Let's start with math. We can see that Marisol answered 68 out of 85 questions correctly. Let's start by writing her score as a fraction. We write the number of correct answers as the numerator and the total number of questions as the denominator. 68/85 We can simplify this fraction by dividing the numerator and the denominator by 17.

68/85

ReduceFrac

a/b=.a /17./.b /17.

68÷ 17/85÷ 17

CalcQuot

Calculate quotient

4/5

To write a fraction as a percent, we need to find an equivalent fraction with a denominator of 100. 4/5 = x/100 We multiply 5 by 20 to get 100, so we will also multiply 4 by 20 to get an equivalent fraction.

Marisol answered 80100 of the questions correctly on the math quiz. Let's write this as a percent. To do so, we write the numerator and add the percent symbol. 80/100 = 80 % Let's add this into the table.

Test	Number Correct	Score	Total
Math	68	80 %	85
Science		90 %	70

Now we will find the number of correct answers on Marisol's science test. To do so, we will calculate 90 % of 70. First, let's write 90 % as a decimal. To write a percent as a decimal, we ignore the percent symbol and move the decimal point two places to the left.

Note that we can write 0.90 without the last zero, as 0.9. Now let's find 0.9 of 70 by multiplying these numbers. 0.9 * 70 = 63 Marisol answered 63 of the 70 questions on the science quiz correctly. Let's complete the table!

Test	Number Correct	Score	Total
Math	68	80 %	85
Science	63	90 %	70