Converting 48.7808 to a Fraction
Step-by-step explanation of how to convert 48.7808 to a fraction

Result

48.7808 =
30488
625
Mixed number:
48
488
625

Step 1: Identify the number of decimal places

The decimal 48.7808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

48.7808 × 10000 = 487808

Step 3: Write as a fraction

48.7808 =

487808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 487808 and 10000.

GCD(487808, 10000) = 16

Divide both the numerator and denominator by the GCD:

487808
10000

=

487808 ÷ 16
10000 ÷ 16

=

30488
625
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