Converting 4.2354 to a Fraction
Step-by-step explanation of how to convert 4.2354 to a fraction

Result

4.2354 =
21177
5000
Mixed number:
4
1177
5000

Step 1: Identify the number of decimal places

The decimal 4.2354 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2354 × 10000 = 42354

Step 3: Write as a fraction

4.2354 =

42354
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42354 and 10000.

GCD(42354, 10000) = 2

Divide both the numerator and denominator by the GCD:

42354
10000

=

42354 ÷ 2
10000 ÷ 2

=

21177
5000
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