Converting 5.92824 to a Fraction
Step-by-step explanation of how to convert 5.92824 to a fraction

Result

5.92824 =
74103
12500
Mixed number:
5
11603
12500

Step 1: Identify the number of decimal places

The decimal 5.92824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.92824 × 100000 = 592824

Step 3: Write as a fraction

5.92824 =

592824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 592824 and 100000.

GCD(592824, 100000) = 8

Divide both the numerator and denominator by the GCD:

592824
100000

=

592824 ÷ 8
100000 ÷ 8

=

74103
12500
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