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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

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Exercise 10 Page 77

Instead of adding a negative number, you can subtract.

- 7/15

Practice makes perfect

Let's perform the addition. Adding a negative number is the same as subtracting its positive counterpart.

1/5 + ( - 2/3 )

a+(- b)=a-b

1/5 - 2/3

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. Since 3 is not a multiple of 5, we have to multiply both the numerator and denominator of 15 by 3 and 23 by 5, to create a common denominator.

1/5 - 2/3

a/b=a * 3/b * 3

1 * 3/5 * 3 - 2/3

a/b=a * 5/b * 5

1 * 3/5 * 3 - 2 * 5/3 * 5

Multiply

3/15 - 10/15

Now that we have a common denominator, we can proceed to simplifying the expression.

3/15 - 10/15

Add fractions

3-10/15

Subtract term

- 7/15

MoveNegNumToFrac

Put minus sign in front of fraction

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