Exercise 118 Page 53

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 5/7 + 1/2 Since the least common multiple of 7 and 2 is 14, let's multiply both the numerator and denominator of 57 by 2 to create a common denominator.

5/7 + 1/2

ExpandFrac

a/b=a * 2/b * 2

5* 2/7* 2 + 1/2

Multiply

Multiply

10/14+ 1/2

Next, let's multiply both the numerator and the denominator of 12 by 7 to create a common denominator.

10/14+ 1/2

ExpandFrac

a/b=a * 7/b * 7

10/14+ 1* 7/2* 7

Multiply

Multiply

10/14+ 7/14

Now that we have a common denominator, we can add the fractions and simplify the expression.

10/14+ 7/14

AddFrac

Add fractions

10+7/14

AddTerms

Add terms

17/14

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 1/6 + 2/8 The least common multiple of 6 and 8 is 24. Let's multiply both the numerator and denominator of 16 by 4 to create a common denominator.

1/6 + 2/8

ExpandFrac

a/b=a * 4/b * 4

1* 4/6* 4 + 2/8

Multiply

Multiply

4/24 + 2/8

Next, we multiply both the numerator and the denominator of 28 by 3 to create a common denominator.

4/24 + 2/8

ExpandFrac

a/b=a * 3/b * 3

4/24+ 2* 3/8* 3

Multiply

Multiply

4/24+ 6/24

Now that we have a common denominator, we can add the fractions and simplify the sum.

4/24+ 6/24

AddFrac

Add fractions

4+6/24

AddTerms

Add terms

10/24

ReduceFrac

a/b=.a /2./.b /2.

5/12