Converting 2.142744 to a Fraction
Step-by-step explanation of how to convert 2.142744 to a fraction

Result

2.142744 =
267843
125000
Mixed number:
2
17843
125000

Step 1: Identify the number of decimal places

The decimal 2.142744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

2.142744 × 1000000 = 2142744

Step 3: Write as a fraction

2.142744 =

2142744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2142744 and 1000000.

GCD(2142744, 1000000) = 8

Divide both the numerator and denominator by the GCD:

2142744
1000000

=

2142744 ÷ 8
1000000 ÷ 8

=

267843
125000
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