write the next two equivalent fractions: 2.4/7,6/14=?
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Answer:
If you have a fraction
a
b
then any fraction
k
a
k
b
for a natural number
k
is equivalent to
a
b
, because it can be reduced by
k
.
Example:
3
7
=
3
⋅
2
7
⋅
2
=
6
14
3
7
=
3
⋅
3
7
⋅
3
=
9
21
Also if
a
and
b
have any common factors greater than
1
you can get other equivalent fractions by reducing original fraction by the factors. For example:
9
12
=
3
⋅
3
3
⋅
4
=
3
4
.
So
3
4
is equivalent to
9
12
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