Core Connections: Course 1
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1. Section 3.1
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Exercise 34 Page 110

Practice makes perfect
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 5/12 + 1/3Since 12 is a multiple of 3, we can multiply both the numerator and denominator of 13 by 4 to create a common denominator.

5/12 + 1/3
5/12+1* 4/3* 4
5/12+4/12

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

5/12+4/12
5+4/12
9/12
9/ 3/12/ 3
3/4

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 4/5 + 3/4Since 20 is a common multiple of 4 and 5, we can multiply both the numerator and denominator of 45 by 4 and multiply both the numerator and denominator of 34 by 5 to create a common denominator.

4/5 + 3/4
4* 4/5* 4 + 3/4
4 * 4/5 * 4 + 3* 5/4* 5
16/20+15/20

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

16/20+15/20
16+15/20
31/20