Converting 75.7184 to a Fraction
Step-by-step explanation of how to convert 75.7184 to a fraction

Result

75.7184 =
47324
625
Mixed number:
75
449
625

Step 1: Identify the number of decimal places

The decimal 75.7184 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

75.7184 × 10000 = 757184

Step 3: Write as a fraction

75.7184 =

757184
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 757184 and 10000.

GCD(757184, 10000) = 16

Divide both the numerator and denominator by the GCD:

757184
10000

=

757184 ÷ 16
10000 ÷ 16

=

47324
625
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