Converting 6.1415 to a Fraction
Step-by-step explanation of how to convert 6.1415 to a fraction

Result

6.1415 =
12283
2000
Mixed number:
6
283
2000

Step 1: Identify the number of decimal places

The decimal 6.1415 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.1415 × 10000 = 61415

Step 3: Write as a fraction

6.1415 =

61415
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 61415 and 10000.

GCD(61415, 10000) = 5

Divide both the numerator and denominator by the GCD:

61415
10000

=

61415 ÷ 5
10000 ÷ 5

=

12283
2000
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