Converting 10.5408 to a Fraction
Step-by-step explanation of how to convert 10.5408 to a fraction
Result
10.5408 =
6588
625
Mixed number:
10
338
625
Step 1: Identify the number of decimal places
The decimal 10.5408 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.5408 × 10000 = 105408
Step 3: Write as a fraction
10.5408 =
105408
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 105408 and 10000.
GCD(105408, 10000) = 16
Divide both the numerator and denominator by the GCD:
105408
10000
=
105408 ÷ 16
10000 ÷ 16
=
6588
625
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