Question #ecc7a

1 Answer
Dec 19, 2017

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

Explanation:

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#