Question

Question #ecc7a

Answer 1

`-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`