Exercise 5 Page 43

Let's consider the given number line!

We want to find the distance between - 74 and 38 on the number line. First, we can recall that the distance between any two numbers on a number line is the absolute value of the difference of the two numbers.

We can use this information to find the distance between - 74 and 38. |- 7/4 -3/8| When adding or subtracting fractions they should have the same denominator. In this case, we have two fractions with different denominators. Since 8 is a multiple of 4, we can start by multiplying both the numerator and denominator of - 74 by 2 to create a common denominator.

|- 7/4 -3/8|

ExpandFrac

a/b=a * 2/b * 2

|- 7* 2/4* 2 -3/8|

Multiply

Multiply

|- 14/8 -3/8|

Now, we can subtract the fractions. Let's do it!

|- 14/8 -3/8|

▼

Subtract fractions

MoveNegFracToNum

Put minus sign in numerator

|- 14/8 -3/8|

SubFrac

Subtract fractions

|- 14-3/8|

SubTerm

Subtract term

|- 17/8|

MoveNegNumToFrac

Put minus sign in front of fraction

|- 17/8|

AbsPos

|17/8|=17/8

17/8

FracToMixed

Write fraction as a mixed number

2 18

The distance between two number equals 2 18. This result corresponds to answer I.