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Glencoe Math: Course 2, Volume 1

GM

Glencoe Math: Course 2, Volume 1 View details

Mid-Chapter Check

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Exercise 6 Page 310

Begin by rewriting the given mixed numbers as improper fractions. To add or subtract fractions, they need to have the same denominator.

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Practice makes perfect

Before we can evaluate a sum or difference involving mixed numbers, the mixed numbers must first be rewritten as fractions.

a bc	a* c+b/c	Simplify
2 59	2* 9+5/9	23/9
1 23	1* 3+2/3	5/3

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 23/9 + 5/3 Since 9 is a multiple of 4, we can multiply both the numerator and denominator of 53 by 3 to create a common denominator.

24/9+5/3

a/b=a * 3/b * 3

23/9+5*3/3*3

Multiply

23/9+15/9

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

23/9+15/9

Add fractions

23+15/9

Add terms

38/9

Calculate quotient

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Subchapter links

Vocabulary Check p.310

Skills Check and Problem Solving p.310