Converting 2.8124 to a Fraction
Step-by-step explanation of how to convert 2.8124 to a fraction

Result

2.8124 =
7031
2500
Mixed number:
2
2031
2500

Step 1: Identify the number of decimal places

The decimal 2.8124 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.8124 × 10000 = 28124

Step 3: Write as a fraction

2.8124 =

28124
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28124 and 10000.

GCD(28124, 10000) = 4

Divide both the numerator and denominator by the GCD:

28124
10000

=

28124 ÷ 4
10000 ÷ 4

=

7031
2500
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