How do you convert 3.125 into a fraction and percent?

2 Answers
Jun 12, 2017

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%#

Jun 17, 2017

#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%#