Converting 11.75 to a Fraction
Step-by-step explanation of how to convert 11.75 to a fraction

Result

11.75 =
47
4
Mixed number:
11
3
4

Step 1: Identify the number of decimal places

The decimal 11.75 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

11.75 × 100 = 1175

Step 3: Write as a fraction

11.75 =

1175
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1175 and 100.

GCD(1175, 100) = 25

Divide both the numerator and denominator by the GCD:

1175
100

=

1175 ÷ 25
100 ÷ 25

=

47
4
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