Converting 0.8428 to a Fraction
Step-by-step explanation of how to convert 0.8428 to a fraction

Result

0.8428 =
2107
2500

Step 1: Identify the number of decimal places

The decimal 0.8428 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8428 × 10000 = 8428

Step 3: Write as a fraction

0.8428 =

8428
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8428 and 10000.

GCD(8428, 10000) = 4

Divide both the numerator and denominator by the GCD:

8428
10000

=

8428 ÷ 4
10000 ÷ 4

=

2107
2500
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