  ### Home > MC1 > Chapter 7 > Lesson 7.2.2 > Problem7-57

7-57.

Figure out whether each of the following pairs of fractions is a pair of equivalent fractions. Be sure to show all of your work or explain your thinking clearly.

It may be helpful to know that ''equivalent'' means ''equal to''.

1.  $\frac { 3 } { 4 }$ and $\frac { 75 } { 100 }$

$\text{For this question, it might be easiest to use a Giant One so that each fraction has a like denominator.}$

$\text{For instance, let's change: } \frac{3}{4} \text{ to a fraction with 100 as the denominator so we can compare the two}$

$\text{The Giant One we will use is } \frac{25}{25} \text{ because 4 times 25 is equal to 100 and } \frac{25}{25} \text{ equals 1.}$

2.  $\frac { 2 } { 3 }$ and $\frac { 12 } { 13 }$

$\text{Here, it may help to draw a diagram of}$

$\text{what } \frac{2}{3} \text{ and } \frac{12}{13} \text{ look like. }$

Now try comparing the fractions!

These fractions are not equivalent.

3.  $\frac { 8 } { 5 }$ and $\frac { 5 } { 8 }$

There are $5$ fifths in $1$ and $8$ eighths in $1$. Can you tell if either fraction is greater than or less than the other with this information?