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primary 6 | Maths
| Fractions
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Please help with workings. Thanks
Date Posted: 5 years ago
Views: 262
5/11 or 4/9
More than 2/5, less than 1/2. Denominator must not be more than 12.
so we can try from denominator 12 first.
Multiply both denominator and numerator by 6,
1/2 = 6/12
But 2/5 cannot be multiplied to denominator 12.
So we find the common multiple of 5 and 12 to compare.
Since 5 x 12 = 60,
6/12 = 30/60
2/5 = 24/60
Remember that we need to simplify the fraction to denominator 12. So we need a numerator bigger than 24 , but smaller than 30. And it must be divisible by 5 so the fraction's denominator can be simplified to 12.
We can choose 25.
25/60 = 5/12
so we can try from denominator 12 first.
Multiply both denominator and numerator by 6,
1/2 = 6/12
But 2/5 cannot be multiplied to denominator 12.
So we find the common multiple of 5 and 12 to compare.
Since 5 x 12 = 60,
6/12 = 30/60
2/5 = 24/60
Remember that we need to simplify the fraction to denominator 12. So we need a numerator bigger than 24 , but smaller than 30. And it must be divisible by 5 so the fraction's denominator can be simplified to 12.
We can choose 25.
25/60 = 5/12
If we try from denominator 11,
2/5 and 1/2 cannot get to 11. So we need to find the common multiple of 2,5 and 11.
2 x 5 x 11 = 110
So 2/5 = 44/110
1/2 = 55/110
Remember that we need to simplify the fraction to denominator 11. So we need a numerator bigger than 44 , but smaller than 55. And it must be divisible by 10 so the fraction's denominator can be simplified to 11.
We can choose 50.
50/110 = 5/11
2/5 and 1/2 cannot get to 11. So we need to find the common multiple of 2,5 and 11.
2 x 5 x 11 = 110
So 2/5 = 44/110
1/2 = 55/110
Remember that we need to simplify the fraction to denominator 11. So we need a numerator bigger than 44 , but smaller than 55. And it must be divisible by 10 so the fraction's denominator can be simplified to 11.
We can choose 50.
50/110 = 5/11
1/2 = 5/10
2/5 = 4/10
For denominator 10, there is no whole number between 4 and 5. So we cannot use denominator 10.
If we use denominator 9,
We need to find a common multiple for 2,5 and 9. We can use 2 x 5 x 9 = 90
2/5 = 36/90
1/2 = 45/90
Remember that we need to simplify the fraction to denominator 9 . So we need a numerator bigger than 36 , but smaller than 45 And it must be divisible by 10 so the fraction's denominator can be simplified to 9.
We can choose 40.
40/90 = 4/9
2/5 = 4/10
For denominator 10, there is no whole number between 4 and 5. So we cannot use denominator 10.
If we use denominator 9,
We need to find a common multiple for 2,5 and 9. We can use 2 x 5 x 9 = 90
2/5 = 36/90
1/2 = 45/90
Remember that we need to simplify the fraction to denominator 9 . So we need a numerator bigger than 36 , but smaller than 45 And it must be divisible by 10 so the fraction's denominator can be simplified to 9.
We can choose 40.
40/90 = 4/9
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done
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Convert to decimal to check answer
Date Posted:
5 years ago
Fraction between 4/10 and 5/10 but denominator less than 12.
For more than 4/10, the fraction should have smaller denominator. So is 4/9
For less than 5/10. The denominator should be bigger, so 5/11.
Think this is working. Else pupil can finish their exam paper during PSLE.
For more than 4/10, the fraction should have smaller denominator. So is 4/9
For less than 5/10. The denominator should be bigger, so 5/11.
Think this is working. Else pupil can finish their exam paper during PSLE.
12 also can, since stated not more than 12. So 5/12 is acceptable also
Yes you’re right! Thanks J.
Your working really good! Well explanation!
Your working really good! Well explanation!
Thanks for the compliments! Your working is really cool too and simple. Just reducing or increasing denominator then checking by conversion to decimal works perfectly fine and is very quick!
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