Converting 74.6368 to a Fraction
Step-by-step explanation of how to convert 74.6368 to a fraction
Result
74.6368 =
46648
625
Mixed number:
74
398
625
Step 1: Identify the number of decimal places
The decimal 74.6368 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
74.6368 × 10000 = 746368
Step 3: Write as a fraction
74.6368 =
746368
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 746368 and 10000.
GCD(746368, 10000) = 16
Divide both the numerator and denominator by the GCD:
746368
10000
=
746368 ÷ 16
10000 ÷ 16
=
46648
625
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