Exercise 94 Page 44

Practice makes perfect

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 3/8 - 1/6 Notice that 24 is the least common multiple of 8 and 6. Let's multiply both the numerator and denominator of 38 by 3 to create a common denominator.

3/8 - 1/6

ExpandFrac

a/b=a * 3/b * 3

3* 3/8* 3 - 1/6

Multiply

9/24- 1/6

Next, we will multiply both the numerator and the denominator of 16 by 4 to create an equivalent fraction with a common denominator.

9/24- 1/6

ExpandFrac

a/b=a * 4/b * 4

9/24- 1* 4/6* 4

Multiply

9/24- 4/24

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

9/24- 4/24

SubFrac

Subtract fractions

9-4/24

SubTerm

Subtract term

5/24

This fraction canot be simplified further, so we know that the difference of the given fractions is 524.

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with the same denominator. 4/5 + 3/5 We can simplify the expression by simply adding the fractions.

4/5+3/5

AddFrac

Add fractions

4+3/5

AddTerms

Add terms

7/5

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 5/9 - 1/5 Notice that 45 is the least common multiple of 9 and 5. Let's multiply both the numerator and denominator of 59 by 5 to create a common denominator.

5/9 - 1/5

ExpandFrac

a/b=a * 5/b * 5

5* 5/9* 5 - 1/5

Multiply

25/45- 1/5

Next, we multiply both the numerator and the denominator of 15 by 9 to create a common denominator.

25/45- 1/5

ExpandFrac

a/b=a * 9/b * 9

25/45- 1* 9/5* 9

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