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Big Ideas Math: Modeling Real Life, Grade 7

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Big Ideas Math: Modeling Real Life, Grade 7 View details

6. Solving Inequalities Using Multiplication or Division

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Exercise 8 Page 162

To add or subtract fractions, they need to have the same denominator.

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Practice makes perfect

We want to find the value of the given expression. 2/3+(- 5/7) When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 2/3+(- 5/7) Since 21 is a multiple of both 3 and 7, we can multiply both the numerator and denominator of 23 by 7 to create a common denominator.

2/3+(- 5/7)

a/b=a * 7/b * 7

2* 7/3* 7+(- 5/7)

Multiply

14/21+(- 5/7)

Next, we can multiply both the numerator and denominator of - 57 by 3 to create a common denominator.

14/21+(- 5/7)

a/b=a * 3/b * 3

14/21+(- 5* 3/7* 3)

Multiply

14/21+(- 15/21)

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

14/21+(- 15/21)

a+(- b)=a-b

14/21- 15/21

Subtract fractions

14-15/21

Subtract term

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MoveNegNumToFrac

Put minus sign in front of fraction

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Subchapter links

Try It p.158-160

Self-Assessment for Concept & Skills p.160

Self-Assessment for Problem Solving p.161

Review & Refresh p.162

Concept, Skills, & Problem Solving p.162-164