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primary 5 | Maths | Fractions
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shu
Shu

primary 5 chevron_right Maths chevron_right Fractions chevron_right Singapore

Primary 5 SASMO question. Need help. Thanks.

Date Posted: 4 years ago
Views: 325
Boy Mow Chau
Boy Mow Chau
4 years ago
note that denominators are …
2 = 1x2
6 = 2x3
12=3x4
20=4x5
….
9900=99x100

therefore the expression can rewrite as
=(2-1)/(1x2) + (3-2)/(2x3) + (4-3)/(3x4) + … + (100-99)/(99x100)
=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+ …. +(1/99 -1/100)
=1-(1/100) [note in-between terms cancels off]
=99/100

Answer: 99/100

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goodsamathritan
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