Converting 11.525 to a Fraction
Step-by-step explanation of how to convert 11.525 to a fraction
Result
11.525 =
461
40
Mixed number:
11
21
40
Step 1: Identify the number of decimal places
The decimal 11.525 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.525 × 1000 = 11525
Step 3: Write as a fraction
11.525 =
11525
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11525 and 1000.
GCD(11525, 1000) = 25
Divide both the numerator and denominator by the GCD:
11525
1000
=
11525 ÷ 25
1000 ÷ 25
=
461
40
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