Converting 75.4624 to a Fraction
Step-by-step explanation of how to convert 75.4624 to a fraction
Result
75.4624 =
47164
625
Mixed number:
75
289
625
Step 1: Identify the number of decimal places
The decimal 75.4624 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
75.4624 × 10000 = 754624
Step 3: Write as a fraction
75.4624 =
754624
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 754624 and 10000.
GCD(754624, 10000) = 16
Divide both the numerator and denominator by the GCD:
754624
10000
=
754624 ÷ 16
10000 ÷ 16
=
47164
625
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