Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
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Exercise 24 Page 1

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

3 1112

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
8 34 8* 4+3/4 35/4
4 56 4* 6+5/6 29/6
In this exercise, we have two fractions with different denominators. 35/4 - 29/6 Now, we have to multiply the numerator and the denominator in both fractions to create a common denominator.
35/4 - 29/6
35 * 3/4 * 3 - 29/6
35 * 3/4 * 3 - 29 * 2/6 * 2
105/12 - 58/12
Now that we have a common denominator, we can proceed to simplifying the expression.
105/12 - 58/12
47/12
36+11/12
3 * 12 +11/12
3 11/12