Converting 10.1775 to a Fraction
Step-by-step explanation of how to convert 10.1775 to a fraction
Result
10.1775 =
4071
400
Mixed number:
10
71
400
Step 1: Identify the number of decimal places
The decimal 10.1775 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.1775 × 10000 = 101775
Step 3: Write as a fraction
10.1775 =
101775
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 101775 and 10000.
GCD(101775, 10000) = 25
Divide both the numerator and denominator by the GCD:
101775
10000
=
101775 ÷ 25
10000 ÷ 25
=
4071
400
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