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primary 6 | Maths
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I need help and with explanation. Thanks in advance
Date Posted: 3 years ago
Views: 151
Of course it will be bigger than the original number.
Eg.
1 ÷ ⅔ = 1 × 3/2 = 3/2
2 ÷ ½ = 2 × 2/1 = 4/1 = 4
Eg.
1 ÷ ⅔ = 1 × 3/2 = 3/2
2 ÷ ½ = 2 × 2/1 = 4/1 = 4
A proper fraction is in the form a/b, where a is smaller than b.
Eg. 3/5, 2/7, 111/335
They are all smaller than the smallest non-zero whole number, 1 .
This also means they are smaller than all the whole numbers above 1.
When you divide something bigger by something smaller, you will get many pieces/multiples of that smaller thing.
Eg.
When we do 5 ÷ ⅓, we are basically trying to find how many ⅓(one-thirds) we can get out of 5 wholes.
In 1 whole, there are 3 thirds.
(1 = 3/3)
Since we can get 3 thirds out of every 1 whole, then for 5 wholes,
5
= 5/1
= 5/1 × 1
= 5/1 × 3/3
= 15/3
= 15 × ⅓
We can get 15 thirds.
This is also why we invert the fraction and multiply by it whenever we want to divide by a fraction.
So instead of the long working above (which was shown for explanation purposes only), we can simply do these equivalent steps:
5 ÷ ⅓ = 5 × 3/1 = 15/1 = 15
Every time you divide a number by a fraction (regardless of whether it is proper or improper), it is equivalent to multiplying the number by the reciprocal of that function.
Eg.
Number ÷ a/b →Number × b/a
The reciprocal of a/b is b/a.
Eg. 3/5, 2/7, 111/335
They are all smaller than the smallest non-zero whole number, 1 .
This also means they are smaller than all the whole numbers above 1.
When you divide something bigger by something smaller, you will get many pieces/multiples of that smaller thing.
Eg.
When we do 5 ÷ ⅓, we are basically trying to find how many ⅓(one-thirds) we can get out of 5 wholes.
In 1 whole, there are 3 thirds.
(1 = 3/3)
Since we can get 3 thirds out of every 1 whole, then for 5 wholes,
5
= 5/1
= 5/1 × 1
= 5/1 × 3/3
= 15/3
= 15 × ⅓
We can get 15 thirds.
This is also why we invert the fraction and multiply by it whenever we want to divide by a fraction.
So instead of the long working above (which was shown for explanation purposes only), we can simply do these equivalent steps:
5 ÷ ⅓ = 5 × 3/1 = 15/1 = 15
Every time you divide a number by a fraction (regardless of whether it is proper or improper), it is equivalent to multiplying the number by the reciprocal of that function.
Eg.
Number ÷ a/b →Number × b/a
The reciprocal of a/b is b/a.
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Hi, this is my interpretation.
Date Posted:
3 years ago
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