Exercise 3 Page 275

In this exercise, we are given two mixed numbers. 6 23 ? 6 12 First, we will rewrite these mixed numbers as improper fractions. Let's begin with 6 23. Now, let's do the same for the second number.

6 12

MixedToFrac

a bc=a* c+b/c

6* 2+1/2

Multiply

Multiply

12+1/2

AddTerms

Add terms

13/2

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 g the numerator and denominator of each fraction by the denominator of other. This will give us a common denominator.

20/3

ExpandFrac

a/b=a * 2/b * 2

20*2/3*2

Multiply

Multiply

40/6

Let's do the same for the second fraction.

13/2

ExpandFrac

a/b=a * 3/b * 3

13*3/2*3

Multiply

Multiply

39/6

Finally, we can make our comparison. Since 39 is less than 40, we know that the first value is more than the second value. 40/6 > 39/6 ⇔ 6 23 > 6 12 Let's draw it on a number line.