Maths Topic 11 - Fractions


Fractions: Addition & Subtraction, Mixed Number Calculations, Converting Mixed Number & Improper, Division, Multiplication, Adding & Subtracting, Addition & Subtraction – Same Denominator, Fractions of Amount, Ordering Fractions, Simplifying/Cancelling Down, Equivalent Fractions, Conversion to Decimals, Fractions of a Number.

These maths skills are commonly tested in 11+ exams and Selective School exams in the UK.

Examples

Example Question 1:

(a) 3/4 + 1/3 = ?

(b) 1/23/8 = ?

Answers: (a) 1 1/12 , (b) 1/8

Explanations: 

(a) Make the denominators the same by changing them to twelfths: 3/4 (× 3) = 9/12 , 1/3 (× 4) = 4/12  9/12  + 4/12 = 13/12 → 1 1/12

(b) Make the denominators the same by changing the ½ to eighths: 48 −  38 = 1/8

Example Question 2:

(a) 4/5 × 2/3 = ?

(b) 8/9 ÷ 2/3 = ?

Answers: (a) 8/15 , (b) 1 1/3

Explanations: 

(a) To multiply fractions you just multiply across the numerators and then do the same with the denominators: 4 × 2 = 8 and 5 × 3 = 15 → 8/15

(b) To divide fractions you keep the first fraction the same, invert the second fraction and multiply instead of divide: 8/9 × 3/= 24/18 simplify → 1 1/3

Example Question 3:

What is 5/8 of 416?

Answer: 260

Explanation: Find 1/8 by dividing 416 by 8 = 52, then multiply this by 5 to find 5/8

Video Tutorials

Addition & Subtraction

 

Mixed Number Calculations

 

Converting Mixed Numbers & Improper

 

Division

 

Multiplication

 

Adding and Subtracting

 

Addition & Subtraction – Same Denominator

 

Fractions of Amount

 

Ordering Fractions

 

Simplifying/Cancelling Down

 

Equivalent Fractions

 

Introduction

 

Conversation to Decimals

 

Fractions of a Number