Converting 10.7742 to a Fraction
Step-by-step explanation of how to convert 10.7742 to a fraction
Result
10.7742 =
53871
5000
Mixed number:
10
3871
5000
Step 1: Identify the number of decimal places
The decimal 10.7742 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.7742 × 10000 = 107742
Step 3: Write as a fraction
10.7742 =
107742
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 107742 and 10000.
GCD(107742, 10000) = 2
Divide both the numerator and denominator by the GCD:
107742
10000
=
107742 ÷ 2
10000 ÷ 2
=
53871
5000
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