Exercise 106 Page 49

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 4/5 + 3/4 Notice that 20 is the least common multiple of 5 and 64. In this case, we can multiply both the numerator and denominator of 45 by 4 to create an equivalent fraction with a common denominator.

4/5 + 3/4

ExpandFrac

a/b=a * 4/b * 4

4* 4/5* 4 + 3/4

Multiply

Multiply

16/20+ 3/4

Next, let's multiply both the numerator and the denominator of 34 by 5 to create a common denominator.

16/20+ 3/4

ExpandFrac

a/b=a * 5/b * 5

16/20+ 3* 5/4* 5

Multiply

Multiply

16/20+ 15/20

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

16/20+ 15/20

AddFrac

Add fractions

16+15/20

AddTerms

Add terms

31/20

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 6/7 - 2/5 Notice that 35 is the least common multiple of 7 and 5. In this case, we can multiply both the numerator and denominator of 67 by 5 to create an equivalent fraction with a common denominator.

6/7 - 2/5

ExpandFrac

a/b=a * 5/b * 5

6* 5/7* 5 - 2/5

Multiply

Multiply

30/35- 2/5

Next, we multiply both the numerator and the denominator of 25 by 7 to create a common denominator.

30/35- 2/5

ExpandFrac

a/b=a * 7/b * 7

30/35- 2* 7/5* 7

Multiply

Multiply

30/35- 14/35

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

30/35- 14/35

SubFrac

Subtract fractions

30-14/35

SubTerm

Subtract term

16/35