Fractions | Adding Fractions

How-To Add Fractions

1) Find the LCD2) Make equivalent

fractions○ Whatever you do to

the denominator, do to the numerator, too

3) Add the numerators, while the denominator stays the same

4) Reduce / Simplify if possible

AddingFractions

Here are some common key words to helpyou:

+ All together + Altogether+ Both + Combined+ In all + Perimeter+ Sum + Total

Word Problem Examples● Annalease and Krista are baking cupcakes. Annalease has ¾ cup of

flour. Krista has 1 ⅙ cups of flour. How many cups of flour do they have altogether?

● Kenneth needs ½ stick of butter to make cornbread. He also needs ¼ stick of butter to make muffins. How many sticks of butter does he need in all?

● The distance from Maddi’s house to the mailbox is ⅖ mile. The distance from the mailbox to the bus stop is ⅓ mile. What is the total distance from Maddi’s house to the bus stop?

Fractions | Subtracting Fractions

How-To Subtract Fractions

1) Find the LCD2) Make equivalent

fractions○ Whatever you do to

the denominator, do to the numerator, too

3) Subtract the numerators, while the denominator stays the same

4) Reduce / Simplify if possible

SubtractingFractions

Key Words- Difference

- Fewer- How many more- How much more

- Left- Less

- Remain- -er words for comparison

Word Problem Examples● Jackson’s soccer ball weighs ⅞ pound. His bag containing

his soccer gear weighs 5 ⅙ pounds. How much more does the bag weigh than the soccer ball?

● Muskan bought 5 ¼ feet of yarn to make Mars for her solar system project. She used 2 ⅜ feet to make Mars. How much yarn does Muskan have left?

● Ryan is growing different tomato plants and studying their heights. The Beefsteak tomato plant grew 3 ¼ feet. The Roma tomato plant grew 2 ⅞ feet. What is the difference between heights of the tomato plants?

Fractions | Multiplying Fractions

How-To Multiply Fractions

1) Multiply the numerators○ If you’re

multiplying mixed numbers, first turn the mixed number into an improper fraction

2) Multiply the denominators

3) Reduce / Simplify if possible

MultiplyingFractions

Word Problem Examples● Addison adopted 6 red

pandas. Kaylynn adopted 2 ⅓ times as many pugs as Addison adopted red pandas. How many pugs did Kaylynn adopt?

● Isaac puts 4 oranges in a bag. Each orange weighs ⅜ pound. How much does the bag of oranges weigh?

● Nathan read ⅝ of a 56-page book. How many pages did he read?

● Zeinab made 9 ½ cups of snack mix for a party. Her guests ate ⅓ of the mix. How much snack mix did her guests eat?

Check out these common key words:x # of label x Areax As many as x As much asx Product x Timesx Total

Fractions | Dividing Fractions

KEEP

Switch

Flip

How-To Divide Fractions

1) Keep - Switch - Flip○ If you’re dividing mixed

numbers, first turn the mixed number into an improper fraction

2) Reduce / Simplify if possible

Then, switch division to multiplication!

Last, write the reciprocal, or flip the numerator and the denominator!

Keep the first number the same!

_____ ÷ _____

total/what is shared goes first

Key Words÷ Equal / Equally

÷ Quotient÷ Same amount

÷ Share÷ When you’re

cutting or separating something

÷ When you’re given a total

Word Problem Examples● Peyton is training to be on

American Ninja Warrior. It takes her 8 minutes to run 10 miles. She spent the same amount of time running each mile. How much time did it take Peyton to run each mile?

● A recipe for French Silk Pie calls for ¾ cup of heavy whipping cream. Mila has 6 cups of heavy whipping cream. How many French Silk Pies can she make with that amount of heavy whipping cream?

● Twelve friends share 4 garlic knots equally. What fraction of a garlic knot does each friend get?

DividingFractions