Converting 10.0742 to a Fraction
Step-by-step explanation of how to convert 10.0742 to a fraction
Result
10.0742 =
50371
5000
Mixed number:
10
371
5000
Step 1: Identify the number of decimal places
The decimal 10.0742 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.0742 × 10000 = 100742
Step 3: Write as a fraction
10.0742 =
100742
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 100742 and 10000.
GCD(100742, 10000) = 2
Divide both the numerator and denominator by the GCD:
100742
10000
=
100742 ÷ 2
10000 ÷ 2
=
50371
5000
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