Converting 10.40742 to a Fraction
Step-by-step explanation of how to convert 10.40742 to a fraction
Result
10.40742 =
520371
50000
Mixed number:
10
20371
50000
Step 1: Identify the number of decimal places
The decimal 10.40742 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.40742 × 100000 = 1040742
Step 3: Write as a fraction
10.40742 =
1040742
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1040742 and 100000.
GCD(1040742, 100000) = 2
Divide both the numerator and denominator by the GCD:
1040742
100000
=
1040742 ÷ 2
100000 ÷ 2
=
520371
50000
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