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Answer 1 · 2017-12-19T09:05:50

$-3/7 = -6/14 = -9/21 = -12/28=-15/35 = -18/42 = -36/84$

Equivalent fractions are those which have the same value, but look different.

There are infinitely many fractions equivalent to $-3/7$

Remember that if you multiply any number by $color(red)(1)$ it does not change in value,

$color(red)(1)$ can be written in many ways:

$color(red)(1 = 2/2=3/3 = 4/5 = 13/13 = 25/25 = 36/36) ..$ and so on.

To form an equivalent fraction, multiply $-3/7$ by $1$

$-3/7 xxcolor(red)(2/2) = -6/14" or "-3/7 xxcolor(red)(3/3) = -9/21"$

$-3/7 = -6/14 = -9/21 = -12/28=-15/35 = -18/42 = -36/84$

Each of these fractions simplifies to $-3/7$