Converting 2.9812 to a Fraction
Step-by-step explanation of how to convert 2.9812 to a fraction

Result

2.9812 =
7453
2500
Mixed number:
2
2453
2500

Step 1: Identify the number of decimal places

The decimal 2.9812 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.9812 × 10000 = 29812

Step 3: Write as a fraction

2.9812 =

29812
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 29812 and 10000.

GCD(29812, 10000) = 4

Divide both the numerator and denominator by the GCD:

29812
10000

=

29812 ÷ 4
10000 ÷ 4

=

7453
2500
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