Core Connections: Course 2
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2. Section 3.2
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Exercise 38 Page 144

Practice makes perfect
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 3/4 + 2/3 Since 12 is a multiple of both 4 and 3, we can first multiply both the numerator and denominator of 34 by 3 to create a common denominator.

3/4 + 2/3
3* 3/4* 3 + 2/3
9/12 + 2/3

Next, we can multiply both the numerator and denominator of 23 by 4 to create a common denominator.

9/12 + 2/3
9/12 + 2* 4/3* 4
9/12 + 8/12

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

9/12 + 8/12
9+8/12
17/12
1 512

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 7/8 - 1/4Since 8 is a multiple of 4, we can multiply both the numerator and denominator of 14 by 2 to create a common denominator.

7/8 - 1/4
7/8 - 1* 2/4* 2
7/8 - 2/8

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

7/8 - 2/8
7-2/8
5/8

When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

3/5*1/3
3* 1/5* 3
3/15
1/5

When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

4/7*2/3
4* 2/7* 3
8/21