Converting 45.872 to a Fraction
Step-by-step explanation of how to convert 45.872 to a fraction

Result

45.872 =
5734
125
Mixed number:
45
109
125

Step 1: Identify the number of decimal places

The decimal 45.872 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

45.872 × 1000 = 45872

Step 3: Write as a fraction

45.872 =

45872
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45872 and 1000.

GCD(45872, 1000) = 8

Divide both the numerator and denominator by the GCD:

45872
1000

=

45872 ÷ 8
1000 ÷ 8

=

5734
125
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