Converting 6.1264 to a Fraction
Step-by-step explanation of how to convert 6.1264 to a fraction

Result

6.1264 =
3829
625
Mixed number:
6
79
625

Step 1: Identify the number of decimal places

The decimal 6.1264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.1264 × 10000 = 61264

Step 3: Write as a fraction

6.1264 =

61264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 61264 and 10000.

GCD(61264, 10000) = 16

Divide both the numerator and denominator by the GCD:

61264
10000

=

61264 ÷ 16
10000 ÷ 16

=

3829
625
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