Converting 36.9792 to a Fraction
Step-by-step explanation of how to convert 36.9792 to a fraction
Result
36.9792 =
23112
625
Mixed number:
36
612
625
Step 1: Identify the number of decimal places
The decimal 36.9792 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.9792 × 10000 = 369792
Step 3: Write as a fraction
36.9792 =
369792
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 369792 and 10000.
GCD(369792, 10000) = 16
Divide both the numerator and denominator by the GCD:
369792
10000
=
369792 ÷ 16
10000 ÷ 16
=
23112
625
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