Converting 49.45 to a Fraction
Step-by-step explanation of how to convert 49.45 to a fraction
Result
49.45 =
989
20
Mixed number:
49
9
20
Step 1: Identify the number of decimal places
The decimal 49.45 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
49.45 × 100 = 4945
Step 3: Write as a fraction
49.45 =
4945
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4945 and 100.
GCD(4945, 100) = 5
Divide both the numerator and denominator by the GCD:
4945
100
=
4945 ÷ 5
100 ÷ 5
=
989
20
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