Exercise 53 Page 211

Practice makes perfect

When adding or subtracting fractions, they must have the same denominator. In this exercise, we have two fractions with different denominators. 2/5 - 1/6 Since 30 is a multiple of both 5 and 6, we can multiply both the numerator and denominator of 25 by 6 to create a common denominator.

2/5 - 1/6

ExpandFrac

a/b=a * 6/b * 6

2* 6/5* 6 - 1/6

Multiply

12/30 - 1/6

Next, we multiply both the numerator and denominator of 16 by 5 to create a common denominator.

12/30 - 1/6

ExpandFrac

a/b=a * 5/b * 5

12/30 - 1* 5/6* 5

Multiply

12/30 - 5/30

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

12/30 - 5/30

SubFrac

Subtract fractions

12-5/30

SubTerm

Subtract term

7/30

When adding or subtracting fractions, they have to have the same denominator. In this exercise, we have two fractions with different denominators. 3/7 - 7/14Since 14 is a multiple of 7, we can multiply both the numerator and denominator of 37 by 2 to create a common denominator.

3/7-7/14

ExpandFrac

a/b=a * 2/b * 2

3*2/7*2-7/14

Multiply

6/14-7/14

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

6/14-7/14

SubFrac

Subtract fractions

6-7/14

SubTerm

Subtract term

- 1/14

MoveNegNumToFrac

Put minus sign in front of fraction

- 1/14

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 5/8 - 2/3 Since 24 is a multiple of both 8 and 3, we can multiply both the numerator and denominator of 58 by 3 to create a common denominator.

5/8 - 2/3

ExpandFrac

a/b=a * 3/b * 3

5* 3/8* 3 - 2/3

Multiply

15/24 - 2/3

Next, we multiply both the numerator and denominator of 23 by 8 to create a common denominator.

15/24 - 2/3

ExpandFrac

a/b=a * 8/b * 8

15/24 - 2* 8/3* 8

Multiply