Converting 2.1378 to a Fraction
Step-by-step explanation of how to convert 2.1378 to a fraction
Result
2.1378 =
10689
5000
Mixed number:
2
689
5000
Step 1: Identify the number of decimal places
The decimal 2.1378 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1378 × 10000 = 21378
Step 3: Write as a fraction
2.1378 =
21378
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21378 and 10000.
GCD(21378, 10000) = 2
Divide both the numerator and denominator by the GCD:
21378
10000
=
21378 ÷ 2
10000 ÷ 2
=
10689
5000
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