Converting 2.1428 to a Fraction
Step-by-step explanation of how to convert 2.1428 to a fraction
Result
2.1428 =
5357
2500
Mixed number:
2
357
2500
Step 1: Identify the number of decimal places
The decimal 2.1428 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1428 × 10000 = 21428
Step 3: Write as a fraction
2.1428 =
21428
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21428 and 10000.
GCD(21428, 10000) = 4
Divide both the numerator and denominator by the GCD:
21428
10000
=
21428 ÷ 4
10000 ÷ 4
=
5357
2500
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