Converting 0.1028 to a Fraction
Step-by-step explanation of how to convert 0.1028 to a fraction

Result

0.1028 =
257
2500

Step 1: Identify the number of decimal places

The decimal 0.1028 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1028 × 10000 = 1028

Step 3: Write as a fraction

0.1028 =

1028
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1028 and 10000.

GCD(1028, 10000) = 4

Divide both the numerator and denominator by the GCD:

1028
10000

=

1028 ÷ 4
10000 ÷ 4

=

257
2500
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