Converting 1.78256 to a Fraction
Step-by-step explanation of how to convert 1.78256 to a fraction

Result

1.78256 =
11141
6250
Mixed number:
1
4891
6250

Step 1: Identify the number of decimal places

The decimal 1.78256 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.78256 × 100000 = 178256

Step 3: Write as a fraction

1.78256 =

178256
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 178256 and 100000.

GCD(178256, 100000) = 16

Divide both the numerator and denominator by the GCD:

178256
100000

=

178256 ÷ 16
100000 ÷ 16

=

11141
6250
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