Converting 45.73824 to a Fraction
Step-by-step explanation of how to convert 45.73824 to a fraction

Result

45.73824 =
142932
3125
Mixed number:
45
2307
3125

Step 1: Identify the number of decimal places

The decimal 45.73824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

45.73824 × 100000 = 4573824

Step 3: Write as a fraction

45.73824 =

4573824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4573824 and 100000.

GCD(4573824, 100000) = 32

Divide both the numerator and denominator by the GCD:

4573824
100000

=

4573824 ÷ 32
100000 ÷ 32

=

142932
3125
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