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.

\frac{6 8}{8 5}

We can simplify this fraction by dividing the numerator and the denominator by

17 .

\frac{6 8}{8 5}

ReduceFrac

$\frac{a}{b} = \frac{a / 1 7}{b / 1 7}$

\frac{6 8 \div 1 7}{8 5 \div 1 7}

CalcQuot

Calculate quotient

\frac{4}{5}

To write a fraction as a percent, we need to find an equivalent fraction with a denominator of

100 .

\frac{4}{5} = \frac{x}{1 0 0}

We multiply

5

20

to get

100,

so we will also multiply

4

20

to get an equivalent fraction.

Marisol answered

\frac{8 0}{1 0 0}

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.

\frac{8 0}{1 0 0} = 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 %

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

70

by multiplying these numbers.

0.9 \cdot 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	$63$	$90 %$	$70$

Exercise

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