Converting 6.2825 to a Fraction
Step-by-step explanation of how to convert 6.2825 to a fraction

Result

6.2825 =
2513
400
Mixed number:
6
113
400

Step 1: Identify the number of decimal places

The decimal 6.2825 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.2825 × 10000 = 62825

Step 3: Write as a fraction

6.2825 =

62825
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 62825 and 10000.

GCD(62825, 10000) = 25

Divide both the numerator and denominator by the GCD:

62825
10000

=

62825 ÷ 25
10000 ÷ 25

=

2513
400
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