Fractions 2

Fractions 2

by Mr Tan

​28 August 2021

​Recap of last lesson

• ​Why fractions

• ​Numerator and denominator

• ​Simple fractions

• ​Improper fractions

• ​Mixed numbers

• ​Equivalent fractions

• ​Simplest form

​Comparing fractions

1. ​Check if it is a mixed number

Multiple Choice

Which of the following is the biggest?

• $$11\frac{1}{2}$$  

• $$10\frac{1232}{6756}$$  

• $$15\frac{1345423}{98765732}$$  

• $$20$$  

Multiple Choice

Which of the following is the smallest?

• $$11\frac{1}{2}$$  

• $$10\frac{1232}{6756}$$  

• $$15\frac{1345423}{98765732}$$  

• $$20$$  

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

Multiple Select

$$\frac{4}{9}\ is\ bigger\ than$$  

• $$\frac{4}{7}$$  

• $$\frac{4}{8}$$  

• $$\frac{4}{10}$$  

• $$\frac{4}{11}$$  

Multiple Select

$$\frac{4}{9}\ is\ bigger\ than$$  

• $$\frac{2}{9}$$  

• $$\frac{3}{9}$$  

• $$\frac{5}{9}$$  

• $$\frac{6}{9}$$  

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

3. ​Make into equivalent fractions

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

3. ​Make into equivalent fractions

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

3. ​Make into equivalent fractions

Multiple Choice

$$\frac{2}{7}\ is\ equivalent\ to$$  

• $$\frac{7}{2}$$  

• $$\frac{4}{15}$$  

• $$\frac{200}{701}$$  

• $$\frac{4}{14}$$  

Multiple Choice

$$\frac{3}{7}$$  is smaller than

• $$\frac{5}{14}$$  

• $$\frac{10}{21}$$  

• $$\frac{11}{28}$$  

• $$\frac{14}{35}$$  

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

3. ​Make into equivalent fractions

4. ​Some other methods...

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

3. ​Make into equivalent fractions

4. ​Some other methods...

​Comparing fractions

1. ​Check if it is a mixed number

2. Check if numerators or denominators are the same

3. ​Make into equivalent fractions

4. ​Some other methods...

​Improper fractions

• ​Good or bad?

​Improper fractions

• Good or bad?

• ​How to use improper fractions to our advantage?

​Improper fractions

• ​Good or bad?

• ​How to use improper fractions to our advantage?

• ​But first, let's look at mixed numbers....

​Mixed numbers

​Mixed numbers is just fractions with a number

• ​Is it anything more complicated than adding a number?

​Mixed numbers

Whole number expressed as fraction:

​Mixed numbers

Whole number expressed as fraction:

​Mixed numbers

Whole number expressed as fraction:

​Mixed numbers

Adding number to fractions:

​Mixed numbers

Adding number to fractions:

Multiple Choice

$$2\ +\ \frac{1}{3}\ =$$  

• $$\frac{3}{3}$$  

• $$\frac{21}{3}$$  

• $$\frac{6}{3}$$  

• $$\frac{7}{3}$$  

Fill in the Blank

$$3\frac{2}{5}\ =\ \frac{?}{5}$$  

What is the value of the question mark

​Improper fractions to mixed numbers

We have seen how mixed number can be changed to improper fractions, how about the other way?

​Hint: you must know your multiplication and division very well

​Improper fractions to mixed numbers

Know the multiplication of the denominator:

​1 x 3 = 3

​2 x 3 = 6

​3 x 3 = 9

​4 x 3 = 12

​5 x 3 = 15

​6 x 3 = 18

​7 x 3 = 21

​8 x 3 = 24

​Improper fractions to mixed numbers

Know the multiplication of the denominator:

​1 x 3 = 3

​2 x 3 = 6

​3 x 3 = 9

​4 x 3 = 12

​5 x 3 = 15

​6 x 3 = 18

​7 x 3 = 21

​8 x 3 = 24

​Improper fractions to mixed numbers

Know the multiplication of the denominator:

​1 x 3 = 3

​2 x 3 = 6

​3 x 3 = 9

​4 x 3 = 12

​5 x 3 = 15

​6 x 3 = 18

​7 x 3 = 21

​8 x 3 = 24

​Improper fractions to mixed numbers

Know the multiplication of the denominator:

​1 x 3 = 3

​2 x 3 = 6

​3 x 3 = 9

​4 x 3 = 12

​5 x 3 = 15

​6 x 3 = 18

​7 x 3 = 21

​8 x 3 = 24

​Improper fractions to mixed numbers

Know the multiplication of the denominator:

​1 x 3 = 3

​2 x 3 = 6

​3 x 3 = 9

​4 x 3 = 12

​5 x 3 = 15

​6 x 3 = 18

​7 x 3 = 21

​8 x 3 = 24

Multiple Choice

$$\frac{3}{2}\ =\ ?$$  

• $$2$$  

• $$1\frac{1}{3}$$  

• $$1\frac{1}{2}$$  

​1 x 2 = 2

​2 x 2 = 4

​3 x 2 = 6

​4 x 2 = 8

​5 x 2 = 10

​6 x 2 = 12

​7 x 2 = 14

​8 x 2 = 16

​9 x 2 = 18

​10 x 2 = 20

Multiple Choice

Convert  $$\frac{19}{2}$$   into mixed number.

• $$10\frac{1}{2}$$  

• $$9\frac{1}{2}$$  

• $$9\frac{1}{3}$$  

​1 x 2 = 2

​2 x 2 = 4

​3 x 2 = 6

​4 x 2 = 8

​5 x 2 = 10

​6 x 2 = 12

​7 x 2 = 14

​8 x 2 = 16

​9 x 2 = 18

​10 x 2 = 20

Multiple Choice

Simplify $$\frac{6}{4}$$  to the simplest form

• $$1\frac{2}{4}$$  

• $$1\frac{1}{2}$$  

• $$2\frac{2}{4}$$  

• $$\frac{3}{2}$$  

​1 x 2 = 2

​2 x 2 = 4

​3 x 2 = 6

​4 x 2 = 8

​5 x 2 = 10

​6 x 2 = 12

​7 x 2 = 14

​8 x 2 = 16

​9 x 2 = 18

​10 x 2 = 20

​Recap

• Comparing fractions

• Mixed numbers

• Improper fractions​