Converting 74.5 to a Fraction
Step-by-step explanation of how to convert 74.5 to a fraction
Result
74.5 =
149
2
Mixed number:
74
1
2
Step 1: Identify the number of decimal places
The decimal 74.5 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
74.5 × 10 = 745
Step 3: Write as a fraction
74.5 =
745
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 745 and 10.
GCD(745, 10) = 5
Divide both the numerator and denominator by the GCD:
745
10
=
745 ÷ 5
10 ÷ 5
=
149
2
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions