Exercise 16 Page 277

In this exercise, we are given two mixed numbers. - 3 23 ? - 3 46 First, we will rewrite these mixed numbers as improper fractions. Let's begin with - 3 23.

- 3 23

MixedToFrac

a bc=a* c+b/c

- 3* 3+2/3

Multiply

Multiply

- 9+2/3

AddTerms

Add terms

- 11/3

Now, let's do the same for the second number.

- 3 46

MixedToFrac

a bc=a* c+b/c

- 3* 6+4/6

Multiply

Multiply

- 18+4/6

AddTerms

Add terms

- 22/6

To compare fractions with different denominators, we should first find a common denominator. Since 3 is a factor of 6, multiplying the numerator and denominator of - 113 by 2 will give us a common denominator.

- 11/3

ExpandFrac

a/b=a * 2/b * 2

- 11* 2/3* 2

Multiply

Multiply

- 22/6

Now we can determine which symbol will make a true statement. -22/6 = -22/6 ⇔ -32/3 = -34/6 Let's draw it on a number line.