Converting 48.85784 to a Fraction
Step-by-step explanation of how to convert 48.85784 to a fraction

Result

48.85784 =
610723
12500
Mixed number:
48
10723
12500

Step 1: Identify the number of decimal places

The decimal 48.85784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

48.85784 × 100000 = 4885784

Step 3: Write as a fraction

48.85784 =

4885784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4885784 and 100000.

GCD(4885784, 100000) = 8

Divide both the numerator and denominator by the GCD:

4885784
100000

=

4885784 ÷ 8
100000 ÷ 8

=

610723
12500
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