Converting 11.36 to a Fraction
Step-by-step explanation of how to convert 11.36 to a fraction
Result
11.36 =
284
25
Mixed number:
11
9
25
Step 1: Identify the number of decimal places
The decimal 11.36 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
11.36 × 100 = 1136
Step 3: Write as a fraction
11.36 =
1136
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1136 and 100.
GCD(1136, 100) = 4
Divide both the numerator and denominator by the GCD:
1136
100
=
1136 ÷ 4
100 ÷ 4
=
284
25
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