Question

What is the equivalent to `2/5`?

Answer 1

`(2n)/(5n)`

Explanation:

`a/b` can be written as `(an)/(bn)` so

`2/5=4/10=80/200=...`

Or `(2n)/(5n)`

Answer 2

See below:

Explanation:

Quite a few things actually!

We can look at `2/5` and convert it to a decimal:

`2/5=0.4`

and a percentage:

`2/5=0.4=40%`

We can write different types of operations to arrive at `2/5`:

Addition: `1/5+1/5=2/5`

Subtraction: `4/5-2/5=2/5`

Multiplication: `2xx1/5=2/5`

Division: `(1/5)/(1/2)=2/5`

We can find fractions that have an equal value to `2/5`, such as `4/10 and 6/15`

Answer 3

All the following are fractions equivalent to `2/5`

`2/5 = 4/10 = 6/15 = 8/20 = 10/25=12/30=20/50=50/125=60/150 ...`

Explanation:

There are infinitely many numbers which are equivalent to `2/5`

`2/5` represents a fraction of a whole. It can be expressed as a proper fraction, or a decimal or as a percent.

`2/5 = 0.4 = 40%`

However `2/5` is the simplest form of many equivalent fraction.

Recall that multiplying any number by `1` does not change its value.

`1` can be written as `2/2,3/3, 4/4, 9/9, 15/15, 21/21 50/50 ...`

If you multiply the top and bottom of a fraction by the same number you do not change its value, only what it looks like.

`2/5 xx 2/2 = 4/10" and "2/5 xx 7/7 = 14/35" and "2/5 xx12/12 = 24/60`

All the following are fractions equivalent to `2/5`

`2/5 = 4/10 = 6/15 = 8/20 = 10/25=12/30=20/50=50/125=60/150 ...`

All of these simplify to the decimal `0.4`