Converting 10.40302 to a Fraction
Step-by-step explanation of how to convert 10.40302 to a fraction
Result
10.40302 =
520151
50000
Mixed number:
10
20151
50000
Step 1: Identify the number of decimal places
The decimal 10.40302 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.40302 × 100000 = 1040302
Step 3: Write as a fraction
10.40302 =
1040302
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1040302 and 100000.
GCD(1040302, 100000) = 2
Divide both the numerator and denominator by the GCD:
1040302
100000
=
1040302 ÷ 2
100000 ÷ 2
=
520151
50000
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