Converting 5.7805 to a Fraction
Step-by-step explanation of how to convert 5.7805 to a fraction

Result

5.7805 =
11561
2000
Mixed number:
5
1561
2000

Step 1: Identify the number of decimal places

The decimal 5.7805 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.7805 × 10000 = 57805

Step 3: Write as a fraction

5.7805 =

57805
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 57805 and 10000.

GCD(57805, 10000) = 5

Divide both the numerator and denominator by the GCD:

57805
10000

=

57805 ÷ 5
10000 ÷ 5

=

11561
2000
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