Converting 2.141875 to a Fraction
Step-by-step explanation of how to convert 2.141875 to a fraction
Result
2.141875 =
3427
1600
Mixed number:
2
227
1600
Step 1: Identify the number of decimal places
The decimal 2.141875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
2.141875 × 1000000 = 2141875
Step 3: Write as a fraction
2.141875 =
2141875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2141875 and 1000000.
GCD(2141875, 1000000) = 625
Divide both the numerator and denominator by the GCD:
2141875
1000000
=
2141875 ÷ 625
1000000 ÷ 625
=
3427
1600
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