Converting 4.9264 to a Fraction
Step-by-step explanation of how to convert 4.9264 to a fraction

Result

4.9264 =
3079
625
Mixed number:
4
579
625

Step 1: Identify the number of decimal places

The decimal 4.9264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.9264 × 10000 = 49264

Step 3: Write as a fraction

4.9264 =

49264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49264 and 10000.

GCD(49264, 10000) = 16

Divide both the numerator and denominator by the GCD:

49264
10000

=

49264 ÷ 16
10000 ÷ 16

=

3079
625
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