Converting 42.4808 to a Fraction
Step-by-step explanation of how to convert 42.4808 to a fraction

Result

42.4808 =
53101
1250
Mixed number:
42
601
1250

Step 1: Identify the number of decimal places

The decimal 42.4808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.4808 × 10000 = 424808

Step 3: Write as a fraction

42.4808 =

424808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 424808 and 10000.

GCD(424808, 10000) = 8

Divide both the numerator and denominator by the GCD:

424808
10000

=

424808 ÷ 8
10000 ÷ 8

=

53101
1250
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