Converting 38.45 to a Fraction
Step-by-step explanation of how to convert 38.45 to a fraction
Result
38.45 =
769
20
Mixed number:
38
9
20
Step 1: Identify the number of decimal places
The decimal 38.45 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
38.45 × 100 = 3845
Step 3: Write as a fraction
38.45 =
3845
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3845 and 100.
GCD(3845, 100) = 5
Divide both the numerator and denominator by the GCD:
3845
100
=
3845 ÷ 5
100 ÷ 5
=
769
20
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