How do you convert 3.125 into a fraction and percent?

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Answer 1 · 2017-06-12T13:38:17

See a solution process below:

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 · 2017-06-17T19:56:11

$3.125 = 3 1/8 = 25/8$

$3.125= 312.5%$

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

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