Adding & Subtracting LIKE Fractions

Adding & Subtracting LIKE Fractions

Multiple Choice

REVIEW: We call the TOP number of a fraction the.....

• numerator

• denominator

Multiple Choice

REVIEW: We call the BOTTOM number of a fraction the.... 

• numerator 

• denominator 

Multiple Choice

REVIEW: What makes two fractions alike?

• They have DIFFERENT DENOMINATORS 

• They have the SAME DENOMINATORS

• They have DIFFERENT NUMERATORS

• They have the SAME NUMERATORS

​Remember:

• ​Fractions that have the SAME denominators are LIKE FRACTIONS.

​

• ​Example: 2/4 and 3/4 ------->

​Both wholes are divided into equal size pieces.

Multiple Choice

REVIEW: Which of the following are examples of like fractions?

• 2/8 and 2/6

• 5/8 and -1/8

​NOTES: How to Add/Subtract Like Fractions

1. ​Add or subtract the numerators

2. ​Write the result over the common denominator

3. Check for simplest form. Answers always have to be in simplest form.

4. 2 Examples ----->

​NOTES: SIMPLIFYING FRACTIONS

​A fraction is in simplest form when the top and bottom numbers cannot get any smaller.

​

​Divide the numerator and denominator by their greatest common factor.

​

​Example ---->

Multiple Choice

What is 2/8 in simplest form?

• 1/2

• 4/8

• 1/4

• 2/4

Multiple Choice

What is 10/20 in simplest form?

• 5/10

• 1/2

• 2/5

• 20/40

​EXAMPLE PROBLEM:

Multiple Choice

YOU TRY: Find 7/8 - 5/8 (Subtract and make sure to simplify)

• 2/8

• 12/8

• 1/4

• 3/2

​DON'T FORGET YOUR RULES FOR ADDING/SUBTRACTING INTEGERS

​

Addition:

1) Same signs add/keep the sign

2) Different signs subtract/keep the larger sign

​

Subtraction:

1) Keep it, Change it, Opposite

2) Follow the rules of addition above

Fractions: Simplify when possible

EXAMPLE:

Multiple Choice

YOU TRY: (-5/8) - 3/8

(don't forget to follow the rules for subtracting integers and simplify your answer)

• -2/8

• -8/8

• -1

• -1/4

​Notes: Improper Fractions

1. ​Divide the numerator by the denominator

2. ​Write down the QUOTIENT as a whole number

3. ​Write down the REMAINDER as the new numerator

4. ​Keep the same denominator

Multiple Choice

LETS REVIEW: When adding/subtracting LIKE fractions what do you do with NUMERATORS?

• add or subtract

• keep them the same

Multiple Choice

LETS REVIEW: When adding/subtracting LIKE fractions what do you do with the DENOMINATORS?

• Find a common denominator 

• Multiply the denominators 

• Add the denominators 

• Keep the denominator

Multiple Choice

Answers should always be in ________ form.

• greatest

• like

• common

• simplest