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Question

The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
(a) 212 (b) 315 (c) 850 (d) 16100 (e) 1060 (f) 1575 (g) 1260 (h) 1696 (i) 1275 (j) 1272 (k) 318 (I) 425

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Solution

a) 212=1×26×2
=16

b) 315=1×35×3
=15

c) 850=4×225×2
=425

d) 16100=4×425×4
=425

e) 1060=1×106×10
=16

f) 1575=1×155×15
=15

g) 1260=1×125×12
=15

h) 1696=1×166×16
=16

i) 1275=4×325×3
=425

j) 1272=1×126×12
=16

k) 318=1×36×3
=16

l) 425

So, there are 3 groups of equivalent fractions,
16(a),(e),(h),(j),(k)
15(b),(f),(g)
425(e),(d),(i),(l)

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