Exercise 2 Page 274

In this exercise, we are given two mixed numbers. 1 34 ? 1 58 First, we will rewrite these mixed numbers as improper fractions. Let's begin with 1 34.

1 34

MixedToFrac

a bc=a* c+b/c

1* 4+3/4

Multiply

Multiply

4+3/4

AddTerms

Add terms

7/4

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

1 58

MixedToFrac

a bc=a* c+b/c

1* 8+5/8

Multiply

Multiply

8+5/8

AddTerms

Add terms

13/8

Next, we will compare these fractions. To compare fractions with different denominators, we should first find a common denominator. Since 4 is a factor of 8, multiplying the numerator and denominator of 7 4 by 2 will give us a common denominator.

7/4

ExpandFrac

a/b=a * 2/b * 2

7*2/4*2

Multiply

Multiply

14/8

Finally, we can make our comparison. Since 13 is less than 14, we know that the first value is more than the second value. 14/8 > 13/8 ⇔ 1 3 4 > 1 5 8 Let's draw it on a number line.