Converting 47.45 to a Fraction
Step-by-step explanation of how to convert 47.45 to a fraction
Result
47.45 =
949
20
Mixed number:
47
9
20
Step 1: Identify the number of decimal places
The decimal 47.45 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
47.45 × 100 = 4745
Step 3: Write as a fraction
47.45 =
4745
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4745 and 100.
GCD(4745, 100) = 5
Divide both the numerator and denominator by the GCD:
4745
100
=
4745 ÷ 5
100 ÷ 5
=
949
20
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions