How do you change 78.4% to a fraction reduced to lowest terms?

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Answer 1 · 2016-11-25T21:12:09

#98 / 125# or #(2 * 7^2) / 5^3#

#78.4%# is equivalent to #784# parts out of #1000# or #784 / 1000.#

Find the greatest common divisor (GCD) of these two numbers and divide the numerator and the denominator by the GCD.

GCD Algorithm

#1000 / 784 = 1# with remainder #216#

#784 / 216 = 3# with remainder #136#

#216 / 136 = 1# with remainder #80#

#136 / 80 = 1# with remainder #56#

#80 / 56 = 1# with remainder #24#

#56 / 24 = 2# with remainder #8#

#24 / 8 = 3# with remainder #0#

The last remainder before #0# is the GCD which is #8#.

#784 / 8 = 98#

#1000 / 8 = 125#

Hence #98 / 125# is #78.4%# to a fraction reduced to lowest terms.