Converting 9.78 to a Fraction
Step-by-step explanation of how to convert 9.78 to a fraction
Result
9.78 =
489
50
Mixed number:
9
39
50
Step 1: Identify the number of decimal places
The decimal 9.78 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
9.78 × 100 = 978
Step 3: Write as a fraction
9.78 =
978
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 978 and 100.
GCD(978, 100) = 2
Divide both the numerator and denominator by the GCD:
978
100
=
978 ÷ 2
100 ÷ 2
=
489
50
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions