Converting 45.738 to a Fraction
Step-by-step explanation of how to convert 45.738 to a fraction

Result

45.738 =
22869
500
Mixed number:
45
369
500

Step 1: Identify the number of decimal places

The decimal 45.738 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

45.738 × 1000 = 45738

Step 3: Write as a fraction

45.738 =

45738
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45738 and 1000.

GCD(45738, 1000) = 2

Divide both the numerator and denominator by the GCD:

45738
1000

=

45738 ÷ 2
1000 ÷ 2

=

22869
500
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