Converting 11.735 to a Fraction
Step-by-step explanation of how to convert 11.735 to a fraction
Result
11.735 =
2347
200
Mixed number:
11
147
200
Step 1: Identify the number of decimal places
The decimal 11.735 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.735 × 1000 = 11735
Step 3: Write as a fraction
11.735 =
11735
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11735 and 1000.
GCD(11735, 1000) = 5
Divide both the numerator and denominator by the GCD:
11735
1000
=
11735 ÷ 5
1000 ÷ 5
=
2347
200
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