Converting 4.0774 to a Fraction
Step-by-step explanation of how to convert 4.0774 to a fraction
Result
4.0774 =
20387
5000
Mixed number:
4
387
5000
Step 1: Identify the number of decimal places
The decimal 4.0774 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.0774 × 10000 = 40774
Step 3: Write as a fraction
4.0774 =
40774
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40774 and 10000.
GCD(40774, 10000) = 2
Divide both the numerator and denominator by the GCD:
40774
10000
=
40774 ÷ 2
10000 ÷ 2
=
20387
5000
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