same denominator within one whole
calculator
real-life problems
.
You will need to know how to compare and order fractions.
You will need to understand and identify equivalent fractions.
You will need to be able to simplify fractions.
You will need to be able to use fractions to solve real-life number problems.
You will need to be able to convert fractions to decimals with a calculator.
You will need to be able to add and subtract fractions with the same denominator within one whole.
A unit fraction is a fraction where the top number is 1 and the bottom number is a whole number.
A unit fraction is less than a whole number.
A unit fraction is written as one over another number.
The bottom number is the denominator. It tells you how many equal parts the whole has been split into.
denominator
denominator
The top number is called the numerator and is the number of parts of the whole in the fraction.
numerator
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A non-unit fraction is a fraction where the numerator (top number) is more than 1 and the denominator (bottom number) is a whole number.
This rectangle has been divided into four equal parts.
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Three quarters have been shaded. As a fraction this is written as 3 over 4.
three quarters
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This rectangle has been divided into three equal parts.
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two thirds
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This rectangle has been divided into five equal parts.
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two fifths
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This rectangle has been divided into ten equal parts.
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three tenths
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Click on the clapperboard to watch a short video on fractions.
Just like any other number, fractions can be compared and ordered.
If the denominators (bottom numbers) of the fractions are the same, then we order them by their numerators (top numbers).
The fractions have been ordered from smallest to largest.
To order unit fractions we look at the denominator (bottom number). The bigger the denominator the smaller the fraction.
If you were sharing a pizza with three other friends, the pizza would have to be cut into four pieces (quarters).
Put these fractions in order starting with the smallest number.
Put these fractions in order starting with the smallest number.
Willow had the most. One quarter of the chocolate bar was left.
Willow and Alfie shared this chocolate bar. Willow had a half and Alfie had a quarter. Who had the most? How much chocolate was left?
Click on the clapperboard to watch a short video on ordering fractions.
We can find fractions of quantities by dividing them into equal groups.
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
1
2
3
4
1
2
1
Numbers can also be divided into equal parts.
= 1
Numbers can also be divided into equal parts.
= 2
= 3
= 4
= 2
= 3
= 4
= 3
= 2
What is one tenth of 20?
3
12 ÷ 4 =
5
20 ÷ 4 =
8
32 ÷ 4 =
10
30 ÷ 3 =
22
66 ÷ 3 =
16
48 ÷ 3 =
4
20 ÷ 5 =
7
35 ÷ 5 =
20
100 ÷ 5 =
2
20 ÷ 10 =
5
50 ÷ 10 =
10
100 ÷ 10 =
10
20 ÷ 2 =
6
24 ÷ 4 =
12
60 ÷ 5 =
8
80 ÷ 10 =
12
36 ÷ 3 =
15
75 ÷ 5 =
4
12 ÷ 3 =
Now we are going to look at working out any number of thirds, quarters, fifths or tenths of an amount or quantity.
To work out any number of thirds, quarters, fifths or tenths of an amount or quantity. We divide the number by the denominator and then multiply the answer by the numerator.
4 x 2 = 8
8
4 x 3 = 12
12
To work out any number of thirds, quarters, fifths or tenths of an amount or quantity. We divide the number by the denominator and then multiply the answer by the numerator.
4 x 4 = 16
16
To work out any number of thirds, quarters, fifths or tenths of an amount or quantity. We divide the number by the denominator and then multiply the answer by the numerator.
5 x 7 = 35
35
To work out any number of thirds, quarters, fifths or tenths of an amount or quantity. We divide the number by the denominator and then multiply the answer by the numerator.
On your whiteboard, or in your workbook, calculate the answer to this question.
10 x 2 = 20
20
On your whiteboard, or in your workbook, calculate the answer to this question.
6 x 3 = 18
18
On your whiteboard, or in your workbook, calculate the answer to this question.
3 x 3 = 9
9
On your whiteboard, or in your workbook, calculate the answer to this question.
6 x 4 = 24
24
On your whiteboard, or in your workbook, calculate the answer to this question.
5 x 7 = 35
35
On your whiteboard, or in your workbook, calculate the answer to this question.
10 x 3 = 30
30
15 pupils support Manchester United.
10 x 3 = 30
30
I answered 30 questions correctly.
At Entry Level 3 you will be asked questions on whether fractions are equivalent or not.
Equivalent fractions are fractions with different numerators and denominators that represent the same value or part or portion of the whole.
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Who ate the most?
Amy and Ali shared a lasagne.
I ate a half of the lasagne.
I ate two quarters of the lasagne.
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You will need to know how to work out whether fractions are equivalent.
Two fractions are equivalent if you can multiply or divide the top and the bottom by the same number to get from one to the other.
If we multiply the numerator and denominator of a fraction by the same number we will make an equivalent fraction.
x 2
x 2
If we multiply the numerator and denominator of a fraction by the same number we will make an equivalent fraction.
x 2
x 2
Are these fractions equivalent?
x 2
Ask yourself what has 2 been multiplied to get to 4?
2 has been multiplied by 2 to get to 4.
To check if the fraction is equivalent multiply the 3 by 2.
x 2
x 2
3 x 2 = 6
The fractions are not equivalent.
x 2
x 2
3 x 2 = 6
Are these fractions equivalent?
x 5
Ask yourself what has 2 been multiplied to get to 10?
2 has been multiplied by 5 to get to 10.
To check if the fraction is equivalent multiply the 5 by 5.
x 5
5 x 5 = 25
x 5
x 5
5 x 5 = 25
x 5
The fractions are equivalent.
Are these fractions equivalent?
x 3
Ask yourself what has 3 been multiplied to get to 9?
3 has been multiplied by 3 to get to 9.
To check if the fraction is equivalent multiply the 4 by 3.
x 3
4 x 3 = 12
x 3
x 3
4 x 3 = 12
x 3
The fractions are not equivalent.
Click on the clapperboard to watch a short video on equivalent fractions.
3
3
If we multiply the numerator and denominator of a fraction by the same number we will make an equivalent fraction.
x 3
x 3
We can simplify fractions by finding the biggest number that can divide equally into the numerator and the denominator.
Ask yourself “what is the biggest number that will divide equally into both 5 and 10?”
5 is the biggest number that will divide into both 5 and 10.
We can simplify fractions by finding the biggest number that can divide equally into the numerator and the denominator.
Ask yourself “what is the biggest number that will divide equally into both 3 and 9?”
3 is the biggest number that will divide into both 3 and 9.
We can simplify fractions by finding the biggest number that can divide equally into the numerator and the denominator.
Ask yourself “what is the biggest number that will divide equally into both 6 and 10?”
2 is the biggest number that will divide into both 6 and 10.
There are 24 hours in a day. It is recommended that we should sleep for 8 hours. What fraction of the day should we spend sleeping?
15 pupils support Manchester United.
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At entry Level 3 you will need to be able to add together fractions that have the same denominator.
+
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+
=
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+
=
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+
=
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+
=
To add fractions with the same denominator, add together the top numbers (numerators) and put the answer over the denominator.
+
=
+
The denominator stays the same and does not change.
+
=
On your whiteboard, or in your workbook, add these fractions.
+
+
=
On your whiteboard, or in your workbook, add these fractions.
+
=
On your whiteboard, or in your workbook, add these fractions.
+
=
On your whiteboard, or in your workbook, add these fractions.
+
=
On your whiteboard, or in your workbook, add these fractions.
+
=
On your whiteboard, or in your workbook, add these fractions.
At entry Level 3 you will need to be able to subtract fractions that have the same denominator.
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=
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=
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=
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=
To subtract fractions subtract the second numerator from the first numerator and put the answer over the denominator.
=
The denominator stays the same and does not change.
=
On your whiteboard, or in your workbook, subtract these fractions.
=
On your whiteboard, or in your workbook, subtract these fractions.
=
On your whiteboard, or in your workbook, subtract these fractions.
=
On your whiteboard, or in your workbook, subtract these fractions.
=
On your whiteboard, or in your workbook, subtract these fractions.
=
On your whiteboard, or in your workbook, subtract these fractions.
Fractions can be converted to decimals.
The easiest way to do this is to use a calculator.
=
1 ÷ 2
Enter the number 1 on the calculator by pressing number 1.
=
1 ÷ 2
=
1
=
1 ÷ 2
=
1
Enter the number 2 on the calculator by pressing the number 2.
=
1 ÷ 2
=
1
2
Press the equals sign - =.
=
1 ÷ 2
=
2
The answer will be displayed
1 ÷ 2 = 0.5
=
1 ÷ 2
=
0.5
0.5
Sometimes when we convert a fraction to a decimal we get a decimal that has lots and lots of numbers after the decimal point.
When this happens we usually write the answer to just two decimal places after the decimal point.
So the answer would be 0.66.
=
Using a calculator, convert this fraction to a decimal.
0.4
=
0.75
Using a calculator, convert this fraction to a decimal.
=
0.8
Using a calculator, convert this fraction to a decimal.
=
0.7
Using a calculator, convert this fraction to a decimal.
=
0.6
Using a calculator, convert this fraction to a decimal.
=
0.66
Using a calculator, convert this fraction to a decimal.
=
0.8
Using a calculator, convert this fraction to a decimal.
15 pupils support Manchester United.
5 x 2 = 10
10 pupils support Liverpool.
15 pupils support Manchester United.
The jeans are £12 in the sale.
15 pupils support Manchester United.
12
Alfie used 8 eggs.
4 x 2 = 8
15 pupils support Manchester United.
8
Layla had 750ml of juice left in the carton.
15 pupils support Manchester United.
250 x 3 = 750
750ml
Ben has read 36 pages.
15 pupils support Manchester United.
12 x 3 = 36
36
Amy has saved £150.
Amy is saving up to buy a new mobile phone which costs £200. She has saved up three quarters of the money. How much has Amy saved?
15 pupils support Manchester United.
50 x 3 = 150
150
Alfie scored 12 out of 20 shots at basketball. What fraction of shots did he get in?
15 pupils support Manchester United.
=
Joe’s rent is £360.
15 pupils support Manchester United.
180 x 2 = 360
360
Click on the clapperboard to see some example fraction exam questions.
What have we learned today?
We have learned that the top number in a fraction is called the numerator and the bottom number is called the denominator.
numerator
denominator
We have learned that fractions can be compared and ordered.
We have learned that fractions with different numerators and denominators can show the same part of the whole and are known as equivalent fractions.
We have learned how to simplify fractions.
We have learned how to add and subtract fractions with the same denominator.
+
=
+
=
We have learned how to work out any number of thirds, quarters, fifths or tenths of an amount or quantity.
6 x 4 = 24
24
We have learned how to use a calculator to convert a fraction to a decimal.
=
1 ÷ 2
=
0.5
0.5
We have learned to use fractions to solve real-life problems.
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