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

1 Answer
Nov 25, 2016

98125 or 27253

Explanation:

78.4% is equivalent to 784 parts out of 1000 or 7841000.

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

GCD Algorithm

1000784=1 with remainder 216

784216=3 with remainder 136

216136=1 with remainder 80

13680=1 with remainder 56

8056=1 with remainder 24

5624=2 with remainder 8

248=3 with remainder 0

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

7848=98

10008=125

Hence 98125 is 78.4% to a fraction reduced to lowest terms.