Converting 36.9828 to a Fraction
Step-by-step explanation of how to convert 36.9828 to a fraction
Result
36.9828 =
92457
2500
Mixed number:
36
2457
2500
Step 1: Identify the number of decimal places
The decimal 36.9828 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.9828 × 10000 = 369828
Step 3: Write as a fraction
36.9828 =
369828
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 369828 and 10000.
GCD(369828, 10000) = 4
Divide both the numerator and denominator by the GCD:
369828
10000
=
369828 ÷ 4
10000 ÷ 4
=
92457
2500
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