Converting 42.8224 to a Fraction
Step-by-step explanation of how to convert 42.8224 to a fraction

Result

42.8224 =
26764
625
Mixed number:
42
514
625

Step 1: Identify the number of decimal places

The decimal 42.8224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.8224 × 10000 = 428224

Step 3: Write as a fraction

42.8224 =

428224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 428224 and 10000.

GCD(428224, 10000) = 16

Divide both the numerator and denominator by the GCD:

428224
10000

=

428224 ÷ 16
10000 ÷ 16

=

26764
625
Related Conversions
Other decimal to fraction conversions you might find useful