Converting 74.16 to a Fraction
Step-by-step explanation of how to convert 74.16 to a fraction
Result
74.16 =
1854
25
Mixed number:
74
4
25
Step 1: Identify the number of decimal places
The decimal 74.16 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
74.16 × 100 = 7416
Step 3: Write as a fraction
74.16 =
7416
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7416 and 100.
GCD(7416, 100) = 4
Divide both the numerator and denominator by the GCD:
7416
100
=
7416 ÷ 4
100 ÷ 4
=
1854
25
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions