Converting 3.62824 to a Fraction
Step-by-step explanation of how to convert 3.62824 to a fraction

Result

3.62824 =
45353
12500
Mixed number:
3
7853
12500

Step 1: Identify the number of decimal places

The decimal 3.62824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.62824 × 100000 = 362824

Step 3: Write as a fraction

3.62824 =

362824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 362824 and 100000.

GCD(362824, 100000) = 8

Divide both the numerator and denominator by the GCD:

362824
100000

=

362824 ÷ 8
100000 ÷ 8

=

45353
12500
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