Question

How do you convert 3.125 into a fraction and percent?

Answer 1

See a solution process below:

Explanation:

3.125 is 3,125 thousands or:

`3125/1000 = (125 * 25)/(125 * 8) = (color(red)(cancel(color(black)(125))) * 25)/(color(red)(cancel(color(black)(125))) * 8) = 25/8`

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

`3125/1000 = 312.5/100 = 312.5%`

Answer 2

`3.125 = 3 1/8 = 25/8`

`3.125= 312.5%`

Explanation:

Remember that the decimal places also represent powers of `10`, but given as fractions:

`0.1 =1/10`

`0.01 =1/100 = 1/10^2`

`0.001 = 1/1000 = 1/10^3`

Write `3.125` as a mixed number:

`3.125 = 3 125/1000,` which simplifies to `" "3 1/8`

It can also be written as an improper fraction: `" "3 1/8 = 25/8`

`3.125 = 3125/1000`

A percent is a fraction with `100` in the denominator

`3125/1000 (div10)/(div10) = 312.5/100 = 312.5%`