Converting 11.74 to a Fraction
Step-by-step explanation of how to convert 11.74 to a fraction
Result
11.74 =
587
50
Mixed number:
11
37
50
Step 1: Identify the number of decimal places
The decimal 11.74 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
11.74 × 100 = 1174
Step 3: Write as a fraction
11.74 =
1174
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1174 and 100.
GCD(1174, 100) = 2
Divide both the numerator and denominator by the GCD:
1174
100
=
1174 ÷ 2
100 ÷ 2
=
587
50
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