Exercise 18 Page 277

In this exercise, we are given two mixed numbers with different denominators. 2 34 ? 2 23 Now, we will rewrite these mixed numbers as improper fractions. Let's begin with 2 34. Now, let's do the same for the second number.

2 23

MixedToFrac

a bc=a* c+b/c

2* 3+2/3

Multiply

Multiply

6+2/3

AddTerms

Add terms

8/3

Next, we will compare these fractions. To compare fractions with different denominators, we should first find a common denominator. Since neither of the denominators is a factor of another, we will multiply the numerator and denominator of each fraction by the denominator of other. This will give us a common denominator.

11/4

ExpandFrac

a/b=a * 3/b * 3

11*3/4*3

Multiply

Multiply

33/12

Let's do the same for the second fraction.

8/3

ExpandFrac

a/b=a * 4/b * 4

8*4/3*4

Multiply

Multiply

32/12

Finally, we can make our comparison. Since 33 is more than 32, we know that the first value is more than the second value. 33/12 > 32/12 ⇔ 2 34 > 2 23 Let's draw it on a number line.