Converting 11.45625 to a Fraction
Step-by-step explanation of how to convert 11.45625 to a fraction
Result
11.45625 =
1833
160
Mixed number:
11
73
160
Step 1: Identify the number of decimal places
The decimal 11.45625 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.45625 × 100000 = 1145625
Step 3: Write as a fraction
11.45625 =
1145625
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1145625 and 100000.
GCD(1145625, 100000) = 625
Divide both the numerator and denominator by the GCD:
1145625
100000
=
1145625 ÷ 625
100000 ÷ 625
=
1833
160
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