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 =
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)
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 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?