Converting 45.812 to a Fraction
Step-by-step explanation of how to convert 45.812 to a fraction

Result

45.812 =
11453
250
Mixed number:
45
203
250

Step 1: Identify the number of decimal places

The decimal 45.812 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

45.812 × 1000 = 45812

Step 3: Write as a fraction

45.812 =

45812
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45812 and 1000.

GCD(45812, 1000) = 4

Divide both the numerator and denominator by the GCD:

45812
1000

=

45812 ÷ 4
1000 ÷ 4

=

11453
250
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