Converting 0.2356 to a Fraction
Step-by-step explanation of how to convert 0.2356 to a fraction

Result

0.2356 =
589
2500

Step 1: Identify the number of decimal places

The decimal 0.2356 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.2356 × 10000 = 2356

Step 3: Write as a fraction

0.2356 =

2356
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2356 and 10000.

GCD(2356, 10000) = 4

Divide both the numerator and denominator by the GCD:

2356
10000

=

2356 ÷ 4
10000 ÷ 4

=

589
2500
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