Unit 4 Section 3 : Operations with Fractions

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

Example 1

Calculate:

(a) +
(b)

Example 2

Calculate:

(a) ×
(b) ×

Example 3

Calculate:

(a) ÷
(b) ÷

Example 4

Calculate:

(a) ×
(b) ÷

Exercises

Give the fractions in the simplest form on this page.
Question 1
Calculate:
(a) +
(b) +
(c) +
(d) +
(e) +
(f) +
Question 2
Calculate:
(a) +
(b) +
(c) +
(d) +
(e) +
(f) +
(g) +
(h) +
(i) +
(j) +
(k) +
(l) +
Question 3
Calculate:
(a) ×
(b) ×
(c) ×
(d) ×
(e) ×
(f) ×
(g) ×
(h) ×
(i) ×
(j) ×
(k) ×
(l) ×
Question 4
Calculate:
(a) ÷
(b) ÷
(c) ÷
(d) ÷
(e) ÷
(f) ÷
(g) ÷
(h) ÷
(i) ÷
(j) ÷
(k) ÷
(l) ÷
Question 5
Calculate:
(a) ×
(b) ×
(c) ×
(d) ×
(e) ×
(f) ×
Question 6
Calculate the area and perimeter of the rectangle shown:
Area =
Perimeter =
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 usesof the page
Advert 2 usesof the page
Advert 3 usesof the page
In total, what fraction of the page do the three adverts use?
(b)
The cost of an advert is £10 for eachof a page.
An advert usesof a page. How much does the advert cost?
£
Question 12
(a)
Alan had this special rectangle.
He cut off of the rectangle.
He had this square left.
Alan put back the piece he had cut off.
He said:
"I've added onof 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 subtractof a shape.
You want to get back to the shape you started with. What fraction of the new shape would you add on?