Exercise 7 Page 295

When adding or subtracting fractions, they should have the same denominator. In this exercise, we are given two fractions with different denominators. - 4/9 - 2/15 To add fractions, their denominators need to be the same. Since 45 is the least common denominator of the two fractions, we can multiply both the numerator and denominator of - 49 by 5 and 215 by 3 to create a common denominator. We will start with the first fraction.

- 4/9

ExpandFrac

a/b=a * 5/b * 5

- 4* 5/9* 5

Multiply

Multiply

- 20/45

Let's continue with the second fraction.

2/15

ExpandFrac

a/b=a * 3/b * 3

2*3/15*3

Multiply

Multiply

6/45

Now, since the denominators are the same, we can subtract the fractions.

- 20/45-6/45

MoveNegFracToNum

Put minus sign in numerator

- 20/45-6/45

SubFrac

Subtract fractions

- 20 -6/45

SubTerm

Subtract term

-26/45

MoveNegNumToFrac

Put minus sign in front of fraction

- 26/45