Converting 4.2178 to a Fraction
Step-by-step explanation of how to convert 4.2178 to a fraction

Result

4.2178 =
21089
5000
Mixed number:
4
1089
5000

Step 1: Identify the number of decimal places

The decimal 4.2178 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2178 × 10000 = 42178

Step 3: Write as a fraction

4.2178 =

42178
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42178 and 10000.

GCD(42178, 10000) = 2

Divide both the numerator and denominator by the GCD:

42178
10000

=

42178 ÷ 2
10000 ÷ 2

=

21089
5000
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