Converting 11.3724 to a Fraction
Step-by-step explanation of how to convert 11.3724 to a fraction
Result
11.3724 =
28431
2500
Mixed number:
11
931
2500
Step 1: Identify the number of decimal places
The decimal 11.3724 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.3724 × 10000 = 113724
Step 3: Write as a fraction
11.3724 =
113724
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 113724 and 10000.
GCD(113724, 10000) = 4
Divide both the numerator and denominator by the GCD:
113724
10000
=
113724 ÷ 4
10000 ÷ 4
=
28431
2500
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