Converting 45.753728 to a Fraction
Step-by-step explanation of how to convert 45.753728 to a fraction

Result

45.753728 =
714902
15625
Mixed number:
45
11777
15625

Step 1: Identify the number of decimal places

The decimal 45.753728 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

45.753728 × 1000000 = 45753728

Step 3: Write as a fraction

45.753728 =

45753728
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45753728 and 1000000.

GCD(45753728, 1000000) = 64

Divide both the numerator and denominator by the GCD:

45753728
1000000

=

45753728 ÷ 64
1000000 ÷ 64

=

714902
15625
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