Converting 61.4208 to a Fraction
Step-by-step explanation of how to convert 61.4208 to a fraction
Result
61.4208 =
38388
625
Mixed number:
61
263
625
Step 1: Identify the number of decimal places
The decimal 61.4208 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
61.4208 × 10000 = 614208
Step 3: Write as a fraction
61.4208 =
614208
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 614208 and 10000.
GCD(614208, 10000) = 16
Divide both the numerator and denominator by the GCD:
614208
10000
=
614208 ÷ 16
10000 ÷ 16
=
38388
625
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