Converting 85.74 to a Fraction
Step-by-step explanation of how to convert 85.74 to a fraction
Result
85.74 =
4287
50
Mixed number:
85
37
50
Step 1: Identify the number of decimal places
The decimal 85.74 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
85.74 × 100 = 8574
Step 3: Write as a fraction
85.74 =
8574
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8574 and 100.
GCD(8574, 100) = 2
Divide both the numerator and denominator by the GCD:
8574
100
=
8574 ÷ 2
100 ÷ 2
=
4287
50
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions