Fractions Revision

Equivalent Fractions

What do you know about fractions?

-A fractions compares a part to a total

-A fraction look like 3/4

-A fraction has a numerator and a denominator

Definition of Equivalent

Equivalent means...

Equal to

Has the same value

Look at the fractions and the pictures that represent them.

Open Ended

What do you notice about the numbers in the equivalent fractions?

How do you find equivalent fractions?

• You can multiply the numerator and denominator by the same number

• You can divide the numerator and denominator by the same number

Equivalent Fractions Example

• Equivalent Fractions have the same value, even though they may look different.

• 1/2 = 2/4 = 4/8

• The rule to remember is:

  "Change the bottom using multiply or divide, And the same to the top must be applied"

Multiple Choice

Which fraction is equivalent to 1?

• 1/2
• 1/10
• 5/5
• 5/1

Multiple Choice

Which fraction is equivalent to 4/8?

• 1/2
• 2/2
• 2/6
• 2/8

Multiple Choice

What fraction is green?

• 1/4

• 1/2

• 2/3

• 2/3

Multiple Choice

_{True or False?}

• True
• False

Multiple Choice

¹/_{4 is equivalent to which other fraction?}

• ⁴/₁₀

• ⁴/₂₀

• ⁴/₁₆

• ⁶/₁₆

Multiple Choice

Do the math!

• 6/9

• 6/6

• 9/9

• 2/3

Multiple Choice

Simplify the fraction 8/10 to lowest form?

• 2/6

• 4/5

• 3/5

• 2/3

• 4/6

Multiple Choice

Simplify 3/21 to lowest terms.

• 1/3

• 1/7

• 3/7

• 3/21

Multiple Choice

Reduce the fraction 10/30 to lowest terms?

• 5/6

• 5/15

• 3/10

• 1/3

• 1/2

Improper Fractions and Mixed Numbers

Improper Fraction:

When the numerator (top number) is larger than the denominator (bottom number).

HOW???? Are we going to reduce this fraction??

Hint: You need to know how to do simple division. 

We use a MIXED NUMBER! 

A mixed number is a whole number and a fraction. Here we have 2 whole circles and 1/3 of a circle. 
2 1/3

7/3 is our improper fraction. Divide straight up! The 3 divides into the 7, 2 times with one left over. 

2 is our whole number and the leftover 1 is our numerator. 3 stays as the denominator. 

Multiple Choice

Change 12/5 into a mixed number

• 2 2/5

• 3 1/5

• 1 1/5

What if I need to change a mixed number to an improper fraction??

It's as easy as multiplying and adding.

Converting a mixed number to an improper fraction

• Multiply the denominator by the whole number

• Then add the numerator

• That answer is your new numerator

• Keep the same denominator

• Voila!!! 

Multiple Choice

$$Convert\ 5\ \frac{2}{3}\ to\ an\ improper\ fraction.$$  

• 17/3

• 13/3

Multiple Choice

$$Convert\ 7\ \frac{1}{2}\ to\ an\ improper\ fraction.\$$  Hint: 2 x 7 + 1 will give you the numerator.

• 8/2

• 15/2

• 9/2

Poll

I have a good concept of what a mixed number is and what an improper fraction is.

• YES!!

• NO!!!

• STILL TRYING!!!

Finding a Fraction of an Amount

How to find a fraction of an amount (for example, 2/5 of 150)

How to find a fraction of an amount

(for example 2/5 of 150)

• Divide the amount by the bottom number of the fraction 

• 150 divided by 5 = 30

• Multiply that amount by the top number

• 30 x 2 = 60

• 2/5 of 150 = 60

Multiple Choice

Calculate

• 7

• 8

• 9

• 6

Multiple Choice

Calculate

• 8

• 24

• 32

• 11

Multiple Choice

Calculate

• 20

• 16

• 24

• 11

Multiple Choice

Find ⁴/₉ of £54

• £20

• £24

• £18

• £30

Multiple Choice

Find ⁵/₆ of £36

• £30

• £20

• £18

• £24

Multiple Choice

Find ⁵/₈ of £40

• £25

• £20

• £24

• £26

Add and Subtract Fractions

Make sure you get common denominators! Add or subtract numerators and denominators stay the same.

Multiple Choice

Add

$$\frac{5}{8}+\frac{1}{5}$$  

• $$\frac{6}{13}$$  

• $$\frac{32}{40}$$  

• $$\frac{33}{40}$$  

• $$\frac{5}{13}$$  

Multiple Choice

Subtract

$$\frac{3}{4}-\frac{2}{7}$$  

• $$\frac{13}{28}$$  

• $$1\ \frac{1}{28}$$  

• $$\frac{1}{3}$$  

• $$\frac{12}{28}$$  

Multiple Choice

Add

$$\frac{11}{15}+\frac{2}{3}$$  

• $$1\ \frac{1}{5}$$  

• $$1\ \frac{2}{5}$$  

• $$\frac{13}{18}$$  

• $$\frac{20}{15}$$  

Multiple Choice

Subtract

$$\frac{5}{6}-\frac{1}{4}$$  

• $$\frac{1}{2}$$  

• $$2$$  

• $$1\ \frac{1}{12}$$  

• $$\frac{7}{12}$$  

Add Mixed Numbers

Make sure you have common denominators!

1.Add Whole Numbers

2.Add Numerators

3. Denominator Stays the same

4.Simplify your answer, if necessary

Multiple Choice

Add

$$13\ \frac{3}{8}+5\ \frac{7}{10}$$  

• $$18\ \frac{10}{18}$$  

• $$19\ \frac{3}{40}$$  

• $$20\ \frac{3}{40}$$  

• $$20\ \frac{1}{20}$$  

Multiple Choice

Add

$$3\ \frac{11}{14}+5\ \frac{1}{2}$$  

• $$9\ \frac{2}{7}$$  

• $$8\ \frac{11}{16}$$  

• $$9\ \frac{1}{14}$$  

• $$8\ \frac{2}{7}$$  

Subtract Mixed Numbers

Make sure you have common denominators!

1. Subtract Whole Numbers

2.Subtact Numerators

3,Denominator Stays the same

4.Simplify your answer, if necessary

Multiple Choice

Subtract

$$7\ \frac{2}{5}-2\ \frac{1}{6}$$  

• $$5\ \frac{7}{30}$$  

• $$4\ \frac{7}{30}$$  

• $$5\ \frac{1}{2}$$  

• $$6$$  

Subtract Mixed Numbers with Regrouping

Make sure you have common denominators!

Regroup only if the numerator in your 1st fraction if bigger than the numerator in the 2nd fraction.

Multiple Choice

Subtract

$$10\ \frac{1}{8}-3\ \frac{2}{3}$$  

• $$7\ \frac{13}{24}$$  

• $$7\ \frac{11}{24}$$  

• $$6\ \frac{11}{24}$$  

• $$7\ \frac{1}{5}$$  

Multiple Choice

Subtract

$$8\ \frac{2}{5}-3\ \frac{5}{6}$$  

• $$4\ \frac{17}{30}$$  

• $$5\ \frac{17}{30}$$  

• $$7\ \frac{13}{30}$$  

• $$5\ \frac{13}{30}$$  

Multiply Fractions

Numerator x Numerator

Denominator x Denominator

Put whole numbers over 1

Convert mixed to improper before multiplying

Multiple Choice

$$\frac{3}{4}$$  x 12

• 3 $$\frac{3}{4}$$  

• 9

• 8

• 4 $$\frac{1}{3}$$  

Multiple Choice

$$\frac{1}{3\ }\times\ \frac{3}{5\ }=$$  

• $$\frac{1}{5}$$  

• $$\frac{3}{15}$$  

• $$\frac{9}{15}$$  

Multiple Choice

Find the product.

• 5 1/5

• 4 7/10

• 3 1/2

• 5 1/2

Dividing Fractions

Multiply by the reciprocal (keep, change, flip)

Must be a fraction divided by a fraction

Multiple Choice

What is the reciprocal of 3  $$\frac{2}{5}$$  

• 3 $$\frac{5}{2}$$  

• $$\frac{5}{6}$$  

• $$\frac{17}{5}$$  

• $$\frac{5}{17}$$  

Multiple Choice

Find the reciprocal of 7

• 
  $$\frac{1}{7}$$

• $$\frac{7}{1}$$

• 1 $$\frac{1}{7}$$

• $$\frac{7}{7}$$

Multiple Choice

³⁄₄ ÷ ¹⁄₂ =

• 1 1/2

• ⁶⁄₈

• ³⁄₈

• ¹⁄₂

Multiple Choice

4 ÷ ½ = _

• 4

• 2

• 16

• 8

Multiple Choice

• 2  ¹/₅

• 2  ⁴/₁₅

• 6  ⁸/₁₅

•   1  ¹/₅

Word Problems

Pay attention to key words. Decide if something is being broken down, cut, or split into equal pieces (division) or if something is happening repeatedly.

Multiple Choice

Missy filled a water Jug with 12 gallons of water. The football team finished 2/3 of the water. How much of the water did the football team drink?

• 8 gallons

• 18 gallons

• 1/18 gallon

• 12 gallons

Multiple Choice

Paul had 10 pizzas. His family ate 7 of the pizza at the party. Paul cut the remaining pies into 1/4 pieces. How many 1/4 pieces did Paul cut?

• 3/4 pieces

• 2 1/2 pieces

• 12 pieces

• 1 3/4 pieces

Multiple Choice

Mrs. Mitole spent 8 hours in the kitchen. 3/4 of the time was spent making bread. For how many hours did Mrs. Mitole make bread?

• 6

• 2

• 3

• 18