Year 7 Fractions & Percentages

Year 7 Fractions & Percentages

A Review

HCF and LCM

• A factor is a number that can be divided into another number perfectly with no remainders. It can never be bigger than the given number

• HCF (Highest Common Factor) is the biggest factor two or more numbers have in common

• A multiple is a number that can be made by multiplying your given number with the counting numbers.It can never be smaller than the given number

• LCM (Lowest Common Multiple) is the smallest multiple two or more numbers have in common

Multiple Choice

Which of the numbers is not a factor of 12?

• 2

• 3

• 4

• 5

• 6

Multiple Choice

Which of the following is a multiple of 5?

• 6

• 8

• 21

• 13

• 5

Multiple Choice

What is the HCF of 12 and 20?

• 5

• 4

• 6

• 3

• 2

Multiple Choice

What is the LCM of 3 and 4?

• 12

• 24

• 36

• 8

• 9

Types of Fractions

• A proper fraction has a numerator that is always smaller than the denominator

• An improper fraction has a numerator equal to or larger than the denominator

• A mixed number is made of a whole number and a proper fraction

• A fraction with a numerator equal to or is a multiple the denominator is also a whole number

Multiple Select

Select all proper fractions:

• $\frac{2}{5}$

• $\frac{3}{4}$

• $\frac{5}{5}$

• $1\frac{7}{9}$

• $\frac{12}{6}$

Multiple Select

Select all whole numbers:

• $\frac{5}{4}$

• $\frac{7}{7}$

• $\frac{11}{21}$

• $\frac{12}{6}$

• $1\frac{2}{3}$

Fractions on a number line

• To find the denominator of a fraction, count the number of sections in one whole

• Every section counted from 0 increases your numerator by 1

Multiple Choice

What is the fraction at  $b$  ?

•  $\frac{2}{5}$  

•  $\frac{2}{4}$  

•  $\frac{3}{5}$  

•  $\frac{3}{4}$  

Multiple Select

What is the fraction at  $a$  ? 

(select all equivalent)

•  $\frac{6}{5}$  

•  $\frac{1}{4}$  

•  $\frac{5}{4}$  

•  $1\frac{1}{4}$  

Multiple Select

What is the fraction at  $c$  ? 

(select all equivalent)

•  $\frac{3}{4}$  

•  $\frac{16}{4}$  

•  $\frac{15}{4}$  

•  $3\frac{3}{4}$  

•  $4\frac{3}{4}$  

Multiple Select

What is the fraction at  $c$  ? 

(select all equivalent)

•  $4\frac{2}{4}$  

•  $\frac{19}{4}$  

•  $\frac{18}{4}$  

•  $\frac{2}{4}$  

•  $5\frac{2}{4}$