Converting 45.753664 to a Fraction
Step-by-step explanation of how to convert 45.753664 to a fraction

Result

45.753664 =
714901
15625
Mixed number:
45
11776
15625

Step 1: Identify the number of decimal places

The decimal 45.753664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

45.753664 × 1000000 = 45753664

Step 3: Write as a fraction

45.753664 =

45753664
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45753664 and 1000000.

GCD(45753664, 1000000) = 64

Divide both the numerator and denominator by the GCD:

45753664
1000000

=

45753664 ÷ 64
1000000 ÷ 64

=

714901
15625
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