Converting 49.71696 to a Fraction
Step-by-step explanation of how to convert 49.71696 to a fraction

Result

49.71696 =
310731
6250
Mixed number:
49
4481
6250

Step 1: Identify the number of decimal places

The decimal 49.71696 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

49.71696 × 100000 = 4971696

Step 3: Write as a fraction

49.71696 =

4971696
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4971696 and 100000.

GCD(4971696, 100000) = 16

Divide both the numerator and denominator by the GCD:

4971696
100000

=

4971696 ÷ 16
100000 ÷ 16

=

310731
6250
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