Converting 11.30748 to a Fraction
Step-by-step explanation of how to convert 11.30748 to a fraction
Result
11.30748 =
282687
25000
Mixed number:
11
7687
25000
Step 1: Identify the number of decimal places
The decimal 11.30748 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.30748 × 100000 = 1130748
Step 3: Write as a fraction
11.30748 =
1130748
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1130748 and 100000.
GCD(1130748, 100000) = 4
Divide both the numerator and denominator by the GCD:
1130748
100000
=
1130748 ÷ 4
100000 ÷ 4
=
282687
25000
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