Converting 78.2408 to a Fraction
Step-by-step explanation of how to convert 78.2408 to a fraction
Result
78.2408 =
97801
1250
Mixed number:
78
301
1250
Step 1: Identify the number of decimal places
The decimal 78.2408 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.2408 × 10000 = 782408
Step 3: Write as a fraction
78.2408 =
782408
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 782408 and 10000.
GCD(782408, 10000) = 8
Divide both the numerator and denominator by the GCD:
782408
10000
=
782408 ÷ 8
10000 ÷ 8
=
97801
1250
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