﻿ Unit 4 Section 3 : Operations with Fractions

Unit 4 Section 3 : Operations with Fractions

Here we review how to add, subtract, multiply and divide fractions.

Calculate:

(a) + –

Calculate:

(a) × ×

Calculate:

(a) ÷ ÷

Calculate:

(a) × ÷

Exercises

Question 1
Calculate:
(a) + + + + + +
Question 2
Calculate:
(a) + + + + + + + + + + + +
Question 3
Calculate:
(a) × × × × × × × × × × × ×
Question 4
Calculate:
(a) ÷ ÷ ÷ ÷ ÷ ÷ ÷ ÷ ÷ ÷ ÷ ÷
Question 5
Calculate:
(a) × × × × × ×
Question 6
Calculate the area and perimeter of the rectangle shown:
 Area = m²
 Perimeter = m²
Question 7
 Julie has a vegetable plot that has an area of of an acre.
 She plants potatoes on of the plot.
 What fraction of an acre does she plant with potatoes?
Question 8
Which is the larger?
 × ÷
Question 9
Solve these equations:
 (a) x = x =
 (b) x = x =
Question 10
 If the area of the rectangle shown is m², what is the length of the rectangle?
 m
Question 11
(a)
In a magazine there are three adverts on the same page.
 Advert 1 uses of the page Advert 2 uses of the page Advert 3 uses of the page
In total, what fraction of the page do the three adverts use?
(b)
 The cost of an advert is £10 for each of a page.
 An advert uses of a page. How much does the advert cost?
 £
Question 12
(a)
 He cut off of the rectangle.
Alan put back the piece he had cut off.
He said:
 "I've added on of the square."
He was wrong.
 What fraction of the square did he add on?
(b)
Look at shape 1 and shape 2.
What fraction of shape 2 is added on to get back to shape 1?
(c)
Look at the numbers on the bottom of the fractions in (a) and (b).
 Suppose you subtract of a shape.
You want to get back to the shape you started with. What fraction of the new shape would you add on?
(d)
 Suppose you subtract of a shape.
You want to get back to the shape you started with. What fraction of the new shape would you add on?