Converting 29.75 to a Fraction
Step-by-step explanation of how to convert 29.75 to a fraction
Result
29.75 =
119
4
Mixed number:
29
3
4
Step 1: Identify the number of decimal places
The decimal 29.75 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
29.75 × 100 = 2975
Step 3: Write as a fraction
29.75 =
2975
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2975 and 100.
GCD(2975, 100) = 25
Divide both the numerator and denominator by the GCD:
2975
100
=
2975 ÷ 25
100 ÷ 25
=
119
4
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions