Converting 74.814144 to a Fraction
Step-by-step explanation of how to convert 74.814144 to a fraction
Result
74.814144 =
1168971
15625
Mixed number:
74
12721
15625
Step 1: Identify the number of decimal places
The decimal 74.814144 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
74.814144 × 1000000 = 74814144
Step 3: Write as a fraction
74.814144 =
74814144
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 74814144 and 1000000.
GCD(74814144, 1000000) = 64
Divide both the numerator and denominator by the GCD:
74814144
1000000
=
74814144 ÷ 64
1000000 ÷ 64
=
1168971
15625
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