Converting 4.158 to a Fraction
Step-by-step explanation of how to convert 4.158 to a fraction

Result

4.158 =
2079
500
Mixed number:
4
79
500

Step 1: Identify the number of decimal places

The decimal 4.158 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.158 × 1000 = 4158

Step 3: Write as a fraction

4.158 =

4158
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4158 and 1000.

GCD(4158, 1000) = 2

Divide both the numerator and denominator by the GCD:

4158
1000

=

4158 ÷ 2
1000 ÷ 2

=

2079
500
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