Converting 2.8536 to a Fraction
Step-by-step explanation of how to convert 2.8536 to a fraction

Result

2.8536 =
3567
1250
Mixed number:
2
1067
1250

Step 1: Identify the number of decimal places

The decimal 2.8536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.8536 × 10000 = 28536

Step 3: Write as a fraction

2.8536 =

28536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28536 and 10000.

GCD(28536, 10000) = 8

Divide both the numerator and denominator by the GCD:

28536
10000

=

28536 ÷ 8
10000 ÷ 8

=

3567
1250
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