Exercise 2 Page p16

To compare the given values, we can rewrite the second number as a fraction. We read

0.71

as

71

hundredths which means that we can rewrite it as a fraction over

100 .

0.71 = \frac{7 1}{1 0 0}

Now we are left with a comparison between

\frac{4}{5}

and

\frac{7 1}{1 0 0} .

Next, we need to find a common denominator. One of the easier ways to create a common denominator is by finding the product of the denominators.

5 \cdot 100 = 500

Let's rewrite the fractions with the new denominator.

Fraction	Create Common Denominator	Multiply
$\frac{4}{5}$	$\frac{4 \cdot 1 0 0}{5 \cdot 1 0 0}$	$\frac{4 0 0}{5 0 0}$
$\frac{7 1}{1 0 0}$	$\frac{7 1 \cdot 5}{1 0 0 \cdot 5}$	$\frac{3 5 5}{5 0 0}$

Finally, we can make our comparison. Since

400

is greater than

355,

we know that the first value is greater than the second value.

\frac{4 0 0}{5 0 0} > \frac{3 5 5}{5 0 0} \Rightarrow \frac{4}{5} > \frac{7 1}{1 0 0} \Rightarrow \frac{4}{5} > 0.71

Extra

Fractions

Fractions are a specific type of ratio that compare a part to a whole. There are many possibles situations in life that can be solved or described using fractions. Let's see some examples!

Dividing the bill between a group of friends.
Dividing the pizza slices equally.
Score of test and exams are generally expressed as fractions.
Measurements in a recipe.

For those of you who are interested in learning more about working with fractions, you can read more about them on the following pages.