Converting 10.42838 to a Fraction
Step-by-step explanation of how to convert 10.42838 to a fraction
Result
10.42838 =
521419
50000
Mixed number:
10
21419
50000
Step 1: Identify the number of decimal places
The decimal 10.42838 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.42838 × 100000 = 1042838
Step 3: Write as a fraction
10.42838 =
1042838
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1042838 and 100000.
GCD(1042838, 100000) = 2
Divide both the numerator and denominator by the GCD:
1042838
100000
=
1042838 ÷ 2
100000 ÷ 2
=
521419
50000
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