Exercise 8 Page 213

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

ExpandFrac

a/b=a * 3/b * 3

3* 3/4* 3 - 2/3

Multiply

Multiply

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

ExpandFrac

a/b=a * 4/b * 4

9/12 - 2* 4/3* 4

Multiply

Multiply

9/12 - 8/12

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

9/12 - 8/12

SubFrac

Subtract fractions

9-8/12

SubTerm

Subtract term

1/12

The simplified expression is equal to 112.

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
5 12	5* 2+1/2	11/2
4 13	4* 3+1/3	13/3

When adding or subtracting fractions, they should have the same denominator. In this case, we have two fractions with different denominators. 5 12 + 4 13 ⇔ 11/2 + 13/3 Since 6 is a multiple of both 2 and 3, we can first multiply both the numerator and denominator of 112 by 3 to create a common denominator.

11/2 + 13/3

ExpandFrac

a/b=a * 3/b * 3

11* 3/2* 3 + 13/3

Multiply

Multiply

33/6 + 13/3

Next, we can multiply both the numerator and denominator of 133 by 2 to create a common denominator.

33/6 + 13/3

ExpandFrac

a/b=a * 2/b * 2

33/6 + 13* 2/3* 2

Multiply

Multiply

33/6 + 26/6

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

33/6 + 26/6

AddFrac

Add fractions

33+26/6

AddTerms

Add terms

59/6

The quotient is 596. We can also write this fraction as a mixed number.

59/6

WriteSum

Write as a sum

54+5/6

WriteSumFrac

Write as a sum of fractions

54/6+5/6

CalcQuot

Calculate quotient

9+5/6

AddTerms

Add terms

9 56

The simplified expression is equal to 9 56.

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!

7/8*5/6

MultFrac

Multiply fractions

7* 5/8* 6

Multiply

Multiply

35/48

The simplified expression is equal to 3548.