Converting 4.078 to a Fraction
Step-by-step explanation of how to convert 4.078 to a fraction

Result

4.078 =
2039
500
Mixed number:
4
39
500

Step 1: Identify the number of decimal places

The decimal 4.078 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.078 × 1000 = 4078

Step 3: Write as a fraction

4.078 =

4078
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4078 and 1000.

GCD(4078, 1000) = 2

Divide both the numerator and denominator by the GCD:

4078
1000

=

4078 ÷ 2
1000 ÷ 2

=

2039
500
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