Converting 36.78 to a Fraction
Step-by-step explanation of how to convert 36.78 to a fraction
Result
36.78 =
1839
50
Mixed number:
36
39
50
Step 1: Identify the number of decimal places
The decimal 36.78 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
36.78 × 100 = 3678
Step 3: Write as a fraction
36.78 =
3678
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3678 and 100.
GCD(3678, 100) = 2
Divide both the numerator and denominator by the GCD:
3678
100
=
3678 ÷ 2
100 ÷ 2
=
1839
50
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