Converting 11.85 to a Fraction
Step-by-step explanation of how to convert 11.85 to a fraction

Result

11.85 =
237
20
Mixed number:
11
17
20

Step 1: Identify the number of decimal places

The decimal 11.85 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

11.85 × 100 = 1185

Step 3: Write as a fraction

11.85 =

1185
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1185 and 100.

GCD(1185, 100) = 5

Divide both the numerator and denominator by the GCD:

1185
100

=

1185 ÷ 5
100 ÷ 5

=

237
20
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