Converting 83.54 to a Fraction
Step-by-step explanation of how to convert 83.54 to a fraction

Result

83.54 =
4177
50
Mixed number:
83
27
50

Step 1: Identify the number of decimal places

The decimal 83.54 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

83.54 × 100 = 8354

Step 3: Write as a fraction

83.54 =

8354
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8354 and 100.

GCD(8354, 100) = 2

Divide both the numerator and denominator by the GCD:

8354
100

=

8354 ÷ 2
100 ÷ 2

=

4177
50
Related Conversions
Other decimal to fraction conversions you might find useful