Converting 4.142 to a Fraction
Step-by-step explanation of how to convert 4.142 to a fraction

Result

4.142 =
2071
500
Mixed number:
4
71
500

Step 1: Identify the number of decimal places

The decimal 4.142 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.142 × 1000 = 4142

Step 3: Write as a fraction

4.142 =

4142
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4142 and 1000.

GCD(4142, 1000) = 2

Divide both the numerator and denominator by the GCD:

4142
1000

=

4142 ÷ 2
1000 ÷ 2

=

2071
500
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