Converting 4.9376 to a Fraction
Step-by-step explanation of how to convert 4.9376 to a fraction
Result
4.9376 =
3086
625
Mixed number:
4
586
625
Step 1: Identify the number of decimal places
The decimal 4.9376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.9376 × 10000 = 49376
Step 3: Write as a fraction
4.9376 =
49376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49376 and 10000.
GCD(49376, 10000) = 16
Divide both the numerator and denominator by the GCD:
49376
10000
=
49376 ÷ 16
10000 ÷ 16
=
3086
625
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